Derivatives… What? (NancyPi)

Published on September 6, 2018 by

MIT grad shows the DEFINITION of the derivative and how to FIND the derivative using that limit definition. To skip ahead: 1) For what the derivative MEANS, skip to 0:23. 2) For the SLOPE OF THE SECANT line, skip to 2:53. 3) For the SECANT BECOMING THE TANGENT and DEFINITION OF THE DERIVATIVE, skip to 5:54. 4) For how to FIND THE DERIVATIVE USING THE (LIMIT) DEFINITION of the derivative, skip to 10:28. Nancy formerly of MathBFF explains the steps.

For my video on the shorter, faster DERIVATIVE RULES for how to take a derivative, jump to:

Follow Nancy on Instagram:

INTRODUCTION to derivatives:

1) WHAT IS THE DERIVATIVE? It's a function that tells you the slope (of the line tangent to the curve) at every point. Another way to think of it is that the derivative gives you the rate of change at any instant (the "instantaneous rate of change" at each point). You can find the derivative either with the proper DEFINITION OF THE DERIVATIVE ("by the limit process") or the faster, simpler way with the shortcut derivative rules such as the Power Rule, Product Rule, Quotient Rule, and Chain Rule. This video shows the first way, with the DEFINITION of the derivative, and how to use it to calculate the derivative.

2) SLOPE OF SECANT: To make the definition of the derivative, we can start with the slope of the straight secant line through a point x and some other point nearby, h distance away horizontally. If we label the two points and use the slope formula to write an expression for the slope of this secant line, the expression you get is [f(x+h) - f(x)] / h, which is also known as the DIFFERENCE QUOTIENT.

3) DEFINITION OF DERIVATIVE: That straight line slope we just found is actually a decent ESTIMATE for the slope at x, but it's not really the slope at x. We can get the EXACT slope of the tangent line at x by closing in on x and narrowing h to zero, by taking the LIMIT of the secant slope, as h approaches 0. The slope of the secant line becomes the slope of the tangent line. Not only is this limit equal to the slope of the tangent line, it is the definition of the derivative (when the limit exists) or f'(x).

4) HOW TO FIND THE DERIVATIVE OF A FUNCTION USING (LIMIT) DEFINITION: If you have to find the derivative "using the definition of the derivative" or "by the limit process", then you can use the limit definition we just found for any f(x) equation you're given. Remember that the f(x+h) part of the formula means to replace x with (x+h) anywhere x appears in the function f(x). If you want help knowing how to find the limit at the end, you can jump to my video "How to Find Any Limit":

For an intro to the concept of limits, jump to:

For more of my math videos for calculus, precalculus, and algebra, check out:

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  • Sajjad Ali 4 years ago

    Thank you Ms

  • Arif k.Sani 4 years ago

    2nd comment

  • PumaKat 4 years ago

    Studying the mathematics section for my FE Civil exam. Thank you for this great explanation, best one I’ve ever seen!

  • Front Seat Driver 4 years ago

    I don’t even like math. But I have problem no watching your video!

    • Waseem Haider 4 years ago

      Tharak aur sarak ki koi intiha nahe hote. Hahahaha

  • Saphireking22 4 years ago

    You should be a math teacher if you already aren’t. You make topics so much easier

    • James Dekle 4 years ago

      swear to god, teachers make around 100k at my school

    • Bryan Parks 4 years ago

      What makes you say teachers don’t make enough? They make about $30 an hour.

    • Greg Angstadt-Williams 4 years ago

      @Bryan Parks As a teacher, I can tell you that is a lie.

    • Jorge Guizar 4 years ago

      @Greg Angstadt-Williams how much do you make?

    • Several Piece 4 years ago

      @Andy Babay some professors dont either

  • Keith Oleniacz 4 years ago

    Not even in school but always enjoy your videos

  • A-KASH 4 years ago

    Good Nancy

  • Uriah Siner 4 years ago

    Awesome! We just started this in class this week.

  • Samik Saraswat 4 years ago

    I have an integration doubt . Some people say that (sinx)^1/2 is integratable because the graph of the function exists so we can calculate the area under the graph but others clearly state away it’s non integratable. Help with this one. Please.@nancypi

    • Hilbert Black 4 years ago

      It’s non elementary, meaning it doesn’t have an antiderivative expressible in terms of elementary functions like trigonometric or exponential.
      But it is integrable in the sense that you can find the area under the curve of the function, maybe through numerical methods, but the Fundamental Theorem of Calculus can’t be used.

    • Samik Saraswat 4 years ago

      Hilbert Black so you can’t just find out its integral using common integration methods? Also can it be integrated under specific limits like example from 0 to pi/4 using definite integration properties?

    • Hilbert Black 4 years ago

      @Samik Saraswat Not as far as I can see, but check this thread

    • Samik Saraswat 4 years ago

      Hilbert Black thanks

  • Wran Ther 4 years ago

    Do you ever have the time to check out some of the math work by Eddie Woo? If a story is well told, learning may well flow …

  • Fah Q 4 years ago

    I like how you made the line change with your hand movements. Also ur awesome and very helpful ty so much!!!!

  • Super Mas 4 years ago

    Love you !

  • Abel Lopez 4 years ago

    Yay thanks I needed a quick review your awesome!

  • Michael Morrison 4 years ago

    Nancy, your math videos are good refreshers for our senior engineers, especially when dealing with complex transient problems. And several of our younger production employees are interested in engineering, and maybe pursuing engineering and your tutorials are an excellent means to motivate them. Thank you.

  • ragava r 4 years ago

    Can u plz do a video on left hand limit and right hand limit…! Plz..plz..

    • Sal7_one 4 years ago

      she covers it, in introduction to limits

  • Hector Silva 4 years ago

    the way you teach is astoundingly clear i have come to see math in a new way thank you!!!!

  • John Overton 4 years ago

    Could you cover topics in vector calculus and linear algebra?

  • OrphanPaper 4 years ago

    disaster, I guess thing ,,,,, in ones ,,,,,,,, provokes different emotions to each of us there was a new York tranny whom called him self Disaster the things put on tv for us to be assimilated to , after a while just for sanity we need maths

  • Ashish 4 years ago

    Oblique asymptote please

  • Ross Warber 4 years ago

    Omfg this is exactly the material I was looking for. We just went over this in class yesterday and I like to watch videos on what was covered in class to help with my studies… great timing 🙂

  • Asjad Rehman 4 years ago

    Really loving the new videos

  • Nicholas Cureton 4 years ago

    she can write backwards!

  • Bright Ailemen 4 years ago


  • Science and Fun 4 years ago

    ‘Life is not that simple usually’ nice quote by you.

  • Chaminda Silva 4 years ago

    Angel Nancy,
    We know,
    A Secant line always cuts / touches two points on a graph.
    A Tangent line always cuts / touches a single point on a graph.
    Therefore the Secant line will never touch / meet the Tangent line on a point of a graph.
    Conclusion :
    Differentiation fails to give the actual slope / gradient of a point on the graph.
    Do you like my crazy mind?
    Please send a reply.

    • Soumil Sahu 4 years ago

      Chaminda Silva When both your points are the same, the secant BECOMES the tangent

  • gjonezy9 4 years ago


    Didn’t I tell you guys she was a witch!  ;o)

    1. John Gray, CFA and Sally Miller are discussing what they think their year-end bonus will be and how they might spend them. Miller is new to working in finance and asks Gray what people usually get and what he has got in the past. Gray explains that the firm prohibits employees from discussing their exact bonus number but also says that 30% of people get ‘good’ bonus’, 50% ‘average’ and 20% ‘low’. Gray says that he really wants a new smart watch recently released by a large tech company and says that he will definitely buy it if he gets a ‘good’ bonus, while there is only a 50% and 10% probability he will get it with an ‘average’ or ‘low’ bonus respectively.

    Two weeks later, Miller sees Gray in the office and asks him if he got a good bonus. Gray reminds Miller that the firm’s policy means he cannot say, but Miller notices that he is wearing the new smart watch they were talking about. Miller goes back to her desk and calculates the probability that Gray got a ‘good’ bonus is closest to:

    A: 30%                                                         

     B: 53%

     C: 57%



    01010101 01110011 01101001 01101110 01100111 00100000 01000010 01100001 01111001 01100101 01110011 00100000 01000110 01101111 01110010 01101101 01110101 01101100 01100001 00111010 00100000 01010000
    00101000 01000101 01110110 01100101 01101110 01110100 01111100 01001001 01101110 01100110 01101111 01110010 01101101 01100001 01110100 01101001 01101111 01101110 00101001 00100000 00111101 00100000 01010000 00101000 01000101 01110110 01100101 01101110 01110100 00101001 00100000 00101010 00100000 01010000 00101000 01001001 01101110 01100110 01101111 01110010 01101101 01100001 01110100 01101001 01101111 01101110 00100000 01111100 01000101 01110110 01100101 01101110 01110100 00101001 00100000 00101111 00100000 01010000 00101000 01001001 01101110 01100110 01101111 01110010 01101101 01100001 01110100 01101001 01101111 01101110 00101001 00001101 00001010


    PS: Nancy, if you solve this problem…Can I add you to my Christmas list?

    • D S 4 years ago

      Dude how to solve it?

  • Keval Patel 4 years ago

    “you don’t have to like math, but you can like my video”

  • Sarim Saqib 4 years ago

    Welp, please upload videos on further trig…love u xx

  • jasonsilverton 4 years ago

    such a sweet voice

  • Centinela 4 years ago

    Excellent explanation!

  • amty 4 years ago

    what is the derivative of your number

    • Skamara Lesso 4 years ago

      Obviously zero, bad question xD

    • Renovator 4 years ago

      Lmao, it’s literally 0

    • Lieh Honoridez 4 years ago

      @Renovator i agree

    • Noman Noor 4 years ago

      What I’m more interested in is the derivative of her number multiplied by x.

    • Carla Luna 4 years ago

      Zero lol

  • Paul N/A 4 years ago

    I’m an old man, but you are pretty, smart, adorable, and hot, anyhow, keep up the good work, your video’s are fantastic, and there’s no doubt they help lots and lots of students.

  • Surendrak Verma 4 years ago

    Excellent video

  • Kathy 4 years ago

    hahaha she got me when she said you dont have to like math but you can like my video *eyes to the camera. For that a like for you.

  • Twotoes Thecurmudgeon 4 years ago

    Could you do a vid on integration by parts?

  • Chester Micek 4 years ago

    Good job, NancyPi, the cutie pie.

  • ccsvenezuela2006 4 years ago

    Thanks for the lessons that you’ve given me
    The formulas are all in my mind
    And now that we’ve come to the end of the semester
    There’s something I must say out loud

    You’re once
    Three times a teacher
    And I thank you

    Yes, you’re once
    Three times a teacher
    And I thank you
    I thank you

    You shared my grades
    My maxima
    My minima
    You made my undergrad worth living for
    And if I had to repeat the semester over again, teacher
    I’d spend each and every moment with your videos.

  • amirhossein jafari 4 years ago

    u are amazinggggg!!!!!!! tnks Nancy

  • jaidee white 4 years ago

    thank you i understand it now.

  • Jay Fizzle 4 years ago

    You’re an amazing child of god ✅🆒😘

  • Alfonso Munoz 4 years ago

    Whoa, I like how the secant line moves with your hand. Cool editing!

  • CHRIS-MJ87 4 years ago

    I love your videos!! They help me so much

  • Ronald Jensen 4 years ago

    Great video, but I would have liked it more if you would have pointed out that the constants always cancel out in f(x+h) – f(x) and that we always need to pull out lim h->0 h/h = 1 as a term. I think these are important concepts, and they help keep the student on the right track while solving the equation.

  • Matt Amador 4 years ago

    Definitely earned a subscribe!

  • Adam Childs 4 years ago

    I hope you don’t mind me saying I think I love you

  • exam time 4 years ago

    Awesome mam👌👌

  • Agness Malama 4 years ago

    Nancy you are a good teacher

  • Alexis Ramires 4 years ago

    You’re awesome. Thank you so much–what my professor tried to teach in a week you managed to teach in 14:29 minutes.

  • Abel Lopez 4 years ago


  • Sabia Chauhan 4 years ago

    omg so helpful, and the effects are just awesome! keep putting videos <3

  • E LEARNING & Cooking 4 years ago

    Find derivative of f ( x ) = x ^- 4/ 5? By definition.

  • Aniya M 4 years ago

    what an angel!! thank you so much for your math videos. im taking calculus for the first time in college and its been ROUGH…but these videos are helping me so lets hope I get a B on this exam wednesday! lol

  • nemo one 4 years ago

    Perhaps it depends on having just watched other videos about this topic so, little by little, I had just assimilated the concepts but, apart from this, your explanation is the clearest ever ! Thank you again!

  • Ahtziri Orozco 4 years ago

    Thank you!

  • steven mukukya 4 years ago

    your beauty just makes every step you explain so easy. keep up the good work

  • D Hickey 4 years ago

    Amazing. At 5:18 you showed X in the denominator and it being cancelled out (leaving just h on the bottom). Until now, I’d never had it taught in those terms. Yours is a much better way of explaining derivatives, DQ, and slope. Thank you.

  • Max Purcell 4 years ago

    Can you do a video on taking the derivative of exponential and logarithmic term?

  • Han Lin 4 years ago

    Thank you

  • garrett 4 years ago

    Nancy, your videos are amazing and they’ve helped me out so much! I was wondering if in the future if you could make your videos a little longer and cover more complex examples? Your videos help immensely cover the basics of a topic, but once it gets to harder problems in the same topic i’ll get completely lost. thank again for the great content!

  • Ben H. 4 years ago

    Great explanation. Also, I figured out how Nancy “writes backwards”. 😉

  • Robert Bullard 4 years ago

    Could you do a video about increased derivatives please?

  • peng pleb 4 years ago

    7:48-7:58 what kind of witchcraft is this?

    • Shubham Mishra 3 years ago

      Ever heard of video editing effects?

    • Zhiguo Wang 3 years ago

      I never watched that far, and started to read reviews.

    • maniac9565 3 years ago

      She’s obviously good with her hands. I can only imagine about the incredible handjobs she can perform

    • Michael Xx 3 years ago

      I so wish I was the tangent line…

    • Cesar Vargas 3 years ago

      She is writing normally over a glass wall. There’s a mic above her head, and a camera on the other side of the glass wall. @ 7:45, they use after effects (an adobe software) to make those movements.
      Also, they mirror the recording while editing. She doesn’t write like that.
      You’re welcome

  • Gin Mo 4 years ago

    just thank you …..

  • Vic Sehmbi 4 years ago

    Not only she can write backwards she has the ability to move lines and images with her thought. this is amazing. and speed up time.

  • Sim A 4 years ago

    This was the best explanation I’ve found for derivatives. Thank you!

  • francisco contreras torres 4 years ago

    derivative by definition of x^x?

  • Gin Mo 4 years ago

    thank you , thank you , thank you , now i understand the derivative

  • clarence siason 4 years ago

    PLS do imagianryy zeroes 🙂

  • clarence siason 4 years ago

    Need ASMR vid

  • Danny Salcido 4 years ago

    Let’s not kid ourselves. She’s gorgeous and smart.

    • money x 3 years ago

      she really is

    • money x 3 years ago

      @F.V. yours as well

    • christopherscottb 3 years ago

      What makes you think any of us is kidding ourselves? It’s why all of us are watching.

    • Willy Wonka 2 years ago

      I love her!

    • Jason Jia 2 years ago

      @Sapolsky uh no, just you bud. At most I will gaze, but i’m just here to learn. Her beauty and calm voice makes me more inclined to listen to her versus someone else.

  • george kalfas 4 years ago

    NancyPi… iam in slope with you!!!!!!!!!!!!:)greetings from Greece!!!

  • Jorge Guizar 4 years ago

    Just reviewing for my final wishing I watched this when I was first learning this. But damn after we learned the power rule I felt like all this was pointless 🤣.

  • Sky 4 years ago

    You are so much better than all my math teachers

  • Zeglen house 4 years ago

    A most beautiful, illustrative definition of a derived tangent from a secant line. It is etched in my mind for eternity! THANK YOU.

  • aloke bachhar 4 years ago

    Yeah,life is not that simple…

  • Avdhut Mahadik 4 years ago

    If a rope is drawn from the north pole of jupiter to ours and the line from our centre to jupiter’s is considered to be x axis and a watermelon is dropped from the top of the eiffel tower on an imaginary bullet train travelling under it at the speed of 0.001 mph …then, how many cookies has rosita eaten while watching the 6th episode of 3rd season of friends in the alternate universe where they actually are ENEMIES????

  • John Khan 4 years ago

    Great Video! I would have won the noble price in physics or Math by now, If your videos were available when I was in school in 10th grade. Please do not stop. You are training a generation to like and do math. Thanks

  • HODA Mahboub 4 years ago


  • Melt Down 4 years ago

    U have really covered everything I wanted to know well done and nicely explained…respect from an 8th grader of India

  • Eden Hazard 4 years ago

    you r grate

  • Ionic-Android 4 years ago

    How we ain’t sophisticated enough yet 🤯

  • echaiphus 4 years ago

    you’re absolutely saving my calculus grade right now. the way you explain why the definition is what it is for each piece helps me a lot. thank you!

  • Visualsilva 4 years ago

    Great job! Thanks!

  • JamieG321 4 years ago

    can you just teach the entire curriculum please

  • Michael Miglio 4 years ago

    can you please be my math teacher!!!!

  • Matt 4 years ago

    Thank you

  • Elton Lucien 4 years ago

    I missed the first two classes on derivatives and could not catch up…until NOW!
    Thanks again for your dedication and selflessness.

  • Nathaniel Marshall 4 years ago

    These effects are actually really cool, I wasn’t expecting this lol

  • Prefrontal Lobe 4 years ago

    She explains everything so fluently and in a gorgeous way, uses some kind of magic with her board, she’s definitely a witch.

  • Brian McBee 4 years ago

    What is this backwards-writing sorcery?!

  • Angkor Wat 4 years ago

    Hi i don understand

  • Vaughan : ) 4 years ago

    wow smart and beautiful, either this is a artificial video or she won the life lottery.


    how can you say it’s okay not to like maths?😭💔

  • Sammy Sole 4 years ago

    You are the best at clearly showing us how to approach calculus problems!

  • Você Bilíngue com Nathalia Harchak 4 years ago

    You are awesome! I have been trying to understand this for at least 2 weeks now. My teacher doesn’t explain things as clearly as you do. Keep up the good work!

  • Beau Buffington 4 years ago

    HI Nancy, I recently discovered your channel after going back to school to finish an engineering degree….25 years later! I was never talented mathematically but I somehow managed to make it thru Calc 1,2,3 and differential equations before deciding I wanted to go in a different direction… least at the time. Thank you for the crash courses in calculus to get me back up to speed! Do you have any videos on differential equations? Thank you in advance!

  • Iqbal Syed 4 years ago

    what is instantaneous rates of change.

  • Aparna Das 4 years ago

    I Literally Hate Maths
    But I love Watching Your Videos
    And Seriously I Understand Every Concept

  • منتظر كاظم 4 years ago

    Good job ‘ But can you translate into Arabic

  • Caye Zara 4 years ago

    You are lovely!

  • Luise Fang 4 years ago

    I hope you were my math teacher at school.

  • Nirre 4 years ago

    Im so distracted 🙁

  • king thegame 4 years ago

    Is it as the x+h value approaches x value or the h distance approaches 0. I’m confused. Please explain for me to understand. Thanks

  • wildmangreen 4 years ago

    Your wonderful teaching abilities have changed math for me after many years of struggle. I can only thank you.

  • Jeffrey Minkowsky 4 years ago

    This was extremely helpful. I introduced derivatives to my pre-calculus students and used this video to show the derivation of the limit definition of a derivative. This was also nice for showing the connection between simple slope and derivatives of non-linear functions.

  • TheMasterTropical A. 4 years ago

    She could’ve used the power rule derivative instead of implementing limits in this example. nx^a to anx^(a-1)
    n = coefficient
    a = exponent
    x = base
    Multiplying the coefficient and exponent, then subtracting the exponent by 1
    for example, 4x^3 + 5x^2 + 9x + 1
    f'(x) = 12x^2 + 10x + 9

    • Neo 4 years ago

      This vid is about the definition of the Derivative; or in other words, the *first principles* of the Derivative. Power Rule, Product/Quotient Rule, Chain Rule, or something related are Derivative shortcuts, and in this vid, she is showing how to evaluate a Derivative of a function using first principles, NOT shortcuts. Moreover, if she used shortcuts, she wouldn’t be using first principles.

  • An Idea 4 years ago

    U look so beautiful 😍🌹🌹

  • MathTeamKh -TeacherThea 4 years ago

    Beautiful teacher 😂😍

  • Mario Menjívar 4 years ago

    If only my teacher have had explained this topic as your have explained it. Thanks!

    • Rajkishor Kumar 3 years ago

      i want to talk to you.
      Wat’s app 8252319945

  • Sekou B. Sowani 4 years ago

    Please a video on how your magical table and skill work! So genial!

  • Green Burg 4 years ago

    What if the graph changes drastically to where it has a different derivative at different points? How would you find the function and how would you know to find another derivative?

  • Green Burg 4 years ago

    If h is going to be 0 do we real even need to divide since In the end we will just be dividing by zero anyway?

  • Asriel Meemurr 4 years ago

    Jesus am I the only one watching because I love maths? So many creepers here.

  • Dharmaan Academy 4 years ago

    Your teaching style is put simply , “SUPERB”. Thanks for uploading.

  • Dharmaan Academy 4 years ago

    It wasn’t only definition but “Practical Deriving”.

  • Shaun Rose 4 years ago

    Wish I could write backwards that well.

  • Kishore Subramani 4 years ago

    I really need these what is (topic) kinda of videos because it helps me to build the base of my understanding.Thank you nancy for explaining definition and i encourage you to do more for all.🤗

  • idallkey bachdar 4 years ago

    Hi thank you.. I finished my engineering school phase.. n I just understood this well about derivative

  • Ryan Brazeal 3 years ago

    You are so smart thank you for sharing your knowledge

  • Nagender stunter 3 years ago


  • Abdiqafar Ahmed 3 years ago

    Pliz am really confused at the point where the limit is approaching to zero do you mean that the tangent line at the specific point is zero pliz give brief explanation for me to understand guyz

    • Abdiqafar Ahmed 3 years ago

      In other words h approaching to zero what does she mean

  • sefatullah pamiri 3 years ago

    Good explanation maam.

  • Khayla ReadsA lot 3 years ago

    12:13 are u sure you can divide out the h from (2x +h) since it’s in parentheses

    • JL Ferren 3 years ago

      she plugged 0 in for h… from the limit

  • im Savage 3 years ago

    that moment when you have the looks and the brains

  • socorria. araujo 3 years ago

    thank you 多谢

  • Daniel Dorsz 3 years ago

    Who came up with this stuff ? I mean I think I have no life, imagine just doing nothing one day and you are like “oh I think I am going to write this and than do this to that and maybe this too and it did not work so I will change this with that and that with this and ok it makes sense” seriously wtf ? Explanation is great Nancy , the best I came across but (f)-(d-d)uck my life.

    • james gornall 3 years ago

      Lots and lots of different people and lots and lots of time, I don’t know about you but for me that really helps

    • Daniel Dorsz 3 years ago

      @james gornall sure it does, thanks

  • UltimateBargains 3 years ago

    Nancy looks like a prettier version of Alanis Morissette.

    • Paulo R Menezes 3 years ago

      She looks like Megan Fox.

  • Florindo Atutu 3 years ago

    Am I the only one who thinks she’s so pretty?

  • irgski 3 years ago

    How does she do it??

  • Fecay Duncan 3 years ago

    What’s the derivative of your curves?

  • JOE BLOW 3 years ago

    Math, Schmath. I just like looking at you.

  • shepherd ryan 3 years ago

    I don’t care about the math, but this beauty and sexy girl!

  • Daniel Vargo 3 years ago

    Hi gorgeous!💗❤👿😠💞💖💕💓💓😍😍😍💋👄

  • Aseer Haider Khan 3 years ago

    U respected must note down the deff ,prprpty,concept verbally i cannt get the point plzzz

  • Aseer Haider Khan 3 years ago

    How u can explain the rate of change here is x not time im cnfused plzzz

  • Valahala vikings 3 years ago

    Nice work 👏👏👏👏

  • Alex Alexiev 3 years ago

    Thanks, this helped me get a grasp on derivatives and their purpose since I wasn’t really sure on that

  • Chester Carbungco 3 years ago

    pls do chemistry vids and physics

  • Felix Reyes 3 years ago

    Great video you made it very simple to understand, as a former math teacher I really appreciate this approach.

  • xxx t 3 years ago

    I’m Nancy too, your tutorials are clear, easy to understand and amazing😊

  • jesuisravi 3 years ago

    I appreciate the fact that you speed up the process of writing out the definition etc….

  • Marieta Ponteras 3 years ago

    It’s very good illustration.. in simple way is multiplying that exponent to coefficient and just minus 1 from end up with the answer 6x. The 12 will disappear because h approaching zero.

  • Erwin Meza 3 years ago

    Nancy Pi WELL. …

  • zein norman 3 years ago


  • u2ooberboober 3 years ago

    NanciPi. More like QTPi.

  • Wink 3 years ago

    Geez Nancy, I’m sure you’ve forgotten more math than I will ever know!!! Impressive!

  • Abdallahi Grainatt 3 years ago

    Thank you for the video😘. I follow you from Morocco and I like your videos. I am very happy and wish you a successful journey✌✌

  • George Vladimirovich 3 years ago

    Thank you Nancy. I am taking your videos as a reference each time when doing math with my daughters and they have both became good at it. The school marks are also confirming that. I appreciate your work and your commitment. Thank you.

  • Jason P 3 years ago

    Gorgeous and smart.

  • Mohammed Askar 3 years ago

    She’s hot.

  • The Beautiful Ones 3 years ago

    How do you write backwards?

  • Matteo C 3 years ago

    I came here for the thumbnail.

  • silvestir123 3 years ago

    i saw wide shoulders and i clicked.

  • Zhoul luohZ 3 years ago

    The tangent line slope is variable… That is all… /

  • Zhoul luohZ 3 years ago

    +1 Angelina Jolie teaches math.

  • blackhole0608 3 years ago

    Nancy you are an excellent teacher, but why you dress like a “model”??
    You are so attractive and can be a model as well.
    But you can’t be both @ the same time, your male students will be failures! I wish this is not what you want 😉

    • Andrew Wolff 3 years ago

      blackhole0608 She can wear whatever she wants. Her clothes are classy and her purpose and focus are absolutely on the math and not herself.

      If you think she’s a good teacher, then learn from her. Otherwise you’re just discouraging her to teach and screwing a lot of students out of good lessons.

  • sarvesh m311 3 years ago

    ayi yai yai.. megan fox lookalike… she should go for modeling, instead.

    • Andrew Wolff 3 years ago

      sarvesh m Why? Then she couldn’t teach people. There are plenty of models in the world. There aren’t many good math teachers.

      She’s here to teach math, not do a job you think is appropriate.

    • sarvesh m311 3 years ago

      @Andrew Wolff woah.. take it easy ..bro. are u her boyfriend or what? I’m just admiring her beauty; also i didn’t force anyone. Not many girls are beautiful and tall at the same time. She just can give it a try; may be she will earn a second income. Also ,she can do both; why are u pissed off? calm down and keep doing your math.

    • Andrew Wolff 3 years ago

      sarvesh m Not pissed off. Other people in the comments simply said “beautiful” and left it at that. You literally said “instead” so your second comment is just backpedaling.

      I don’t know why I reacted. I guess I just see someone working hard and doing a legitimate video about math and because she’s a woman, you focus on that. I guess, if I were her, I’d just want people to take my math seriously.

      Sorry to jump on your comment.

  • badlandskid 3 years ago

    Oh man. This brings back memories of calc class in college.

  • Basta Bey 3 years ago

    Kids , calculus will make you smart and popular..

  • cattey 3 years ago

    14 min to say nothing… but say it 30 times. ty for nothing

  • REME 3 years ago

    God you’re pretty.

  • phrankus2009 3 years ago

    Them some smokin’ curves !

  • capgains 3 years ago

    Good lord your parents have symmetry

  • zonnig46 3 years ago

    Thank you very much. Very clearly explained. Greets from Amsterdam , The Netherlands

  • elnino559 3 years ago


  • Pablo Ramirez de Arellano 3 years ago

    Umhh yeah, like, duh!

  • John Jewel 3 years ago

    woah…the tangent line magic time warp…cool

  • John Jewel 3 years ago

    Thanks just remember I saw I understood I failed, I’ll be back. I also enjoyed your way of explaining with ART. I’m an Acadenic, Artist/Love Elon Musk too. I want to be a talent at Nuarulink

  • erik e 3 years ago

    Everything about her is impressive, right down to being able to draw and write backwards and mirror image. Wow! I wish I would have had Youtube 2 decades ago and access to this video when I was taking differential equations in college. I understand it better now than before!

  • I like Potatoes 3 years ago

    You’re hot. You don’t need to know all that science shit. You could just find yourself a man to take care of you. A man like me!

  • I like Potatoes 3 years ago

    Holy shit did you write that backwards? Mind blown.

  • David James 3 years ago

    2:27 “The tangent line is different everywhere”? I have 2 problems with that. 1) It is false, for the shape that you drew, there are several tangent “lines” that are exactly the same. 2) What you drew were line segments, not lines. Lines have infinite length and you didn’t draw those with arrows on the end so shame on you. 2 errors in the same statement.

  • Mitch Swanson 3 years ago

    I find your methodology along with your voice mesmerizing. You are mesmerizing and thnak you.

  • Thomas D'Amico 3 years ago

    Hi Nancy,

    Please excuse this question, but it’s not obvious to me.

    1=0.999… Got it. I can appreciate the many arguments why this is so.

    Conversely, why isn’t the limit as h -> 0 = 0? I’m sure there’s a reason why this is not so, just don’t know why it wouldn’t be?!


  • S E 3 years ago

    Never thought Math could get me excited. Lol
    You’re awesome at what you do.😁👍

  • Vincent Poulaert 3 years ago

    You got the slope of the seccant line!, nancy very good pi

  • Joao Gouveia 3 years ago

    Beautiful and intelligent. What else could you wish for? I’ve fallen in love 🙂

  • Vincent Poulaert 3 years ago

    limite when h trends to zero,nancy

  • Anthony Banovic 3 years ago

    Thank you beautiful, you make calculus gorgeous and vice versa

  • Thrune 3 years ago

    I love you. I mean, hi…..

  • Edward Foehring 3 years ago

    Beutiful and smart, Awsome !

  • Don Bouquet 3 years ago

    Excellent explanation! I wish you had been my high school calculus teacher!

    • Order11110 3 years ago

      I would have gotten A+

    • Dax Battaglia 3 years ago


    • Elijah Miles 3 years ago

      My high school calculus teacher was like a 7 this girls like an 8.5

  • gsrini 3 years ago

    Wow, how is she making this video.. we need a video on that

  • Marwan Cortez 3 years ago

    All of a sudden Iove math.

  • Rafael Robyns 3 years ago

    It’s great to see someone thinking through what they are explaining. The sign of a natural teacher.

  • السعيدعبدالغنى السعيد 3 years ago

    Nice voice

  • markos824 3 years ago

    are u standing behind a glass???

  • popoy d 3 years ago

    the best way to learn advance mathematics. i wonder why i paid so close attention.

  • popoy d 3 years ago

    the rate of falling in love with you is infinty.

    keep it up please.

  • Stuart Brooks 3 years ago

    So WHY would you want to know the slope of a curve at a particular point? Especially the kind of random curve used for examples?

  • Javed Shah 3 years ago

    How to contact with you

  • MyDog Brian 3 years ago

    – Now, I get it! Which means that armed with this new information I can finally go down hill skiing, it’s all about the x,y slope. So when does the “z” enter the equation? Just incase I come up to a tree that’s in my way. That’s were Sony Bono messed up. Forgot about the z axis when calculating the derivative.

  • lebarosky 3 years ago

    This is what happens when smart people marry pretty people and have children rinse and repeat and then everyone is smart and pretty!

    • Boomproof 3 years ago

      Just wow.

    • Jay 3 years ago

      It’s not that pretty people can’t be smart, it’s just that they don’t have to smart to thrive in our society..

  • Jermey Combs 3 years ago

    She looks Stuck Up, but Smart

  • ARPTICS 3 years ago

    Thank you Nancy for awesome explanation. What I got from your video is that the slope of tangent line changes along the curve and the rate of change of the curve/slope everywhere on the curve could be defined with an infinite number of these little slope values which themselves can be represented by a second function that tells you how the curvature of the line being evaluated is changing… made a subscriber out of me. Great job!

  • 13BRAVO REDLEG 3 years ago

    I just want a sandwich!

  • Mohsin Sultan 3 years ago

    Your session are amazing Nancy #STRANGER

  • Sam Pitts 3 years ago

    Love the explanation I am following you I think.

  • Camaro Man 3 years ago

    God, she’s gorgeous.

  • Lets Roll 2020 3 years ago

    Ever notice the faster you drive, the harder it rains?

    The derivative can explain it.
    But you know its wrong.
    Because the rain didn’t change.
    It only appears that way.

    Must factor in relativity.

  • Garden Behind The Alley 3 years ago

    It is good explanation, but there is something you used which needs clarification. at 11:59 you did fraction simplification for h: you assumed that :when h->0 limit (h/h) -> 1

  • Francis El Profe 3 years ago

    Excelente Nancy, eres muy buena.

  • Anderson Goulart 3 years ago

    NancyPi is Very Hot.

  • Math Teacher 3 years ago


  • TheDohboy7778 3 years ago

    Odd question but, is Nancy writing left handed and backwards so we can read it?

    • LTA Hong Lionel 3 years ago

      no. these type of videos are filmed as she stands behind and writes normally on a clear piece of glass. the entire video is then mirrored so that we can read it.

    • TheDohboy7778 3 years ago

      Sweet, less amazed -0.05%, but still impressed 😄

  • HHH سوريا الحبيبة 3 years ago

    حساب المشتق
    ..مشتق الدالة يعطينا الميل ونطقة المماس للمنحني

  • 7656869940 Jessebaldwin 3 years ago

    what was the 8th choice from the top in MS word font window

  • javier v. 3 years ago

    I want to marry Nancy 😅

  • Rakibul Islam 3 years ago

    just wow

  • Oscar G 3 years ago

    Wonderfully clear. I have not done math for decades and your explanation provided clarity like never before. I will have to re-view your video. However, I do not quite understand what a limit is or its purpose. Again, thank you again for being a wonderful instructor. You validated my suspicion. I always suspected that math could be taught better.

    • ps200306 3 years ago

      Derivatives are all about rates of change. One thing is changing with respect to something else. Let’s say the economy is growing with time. You see on the news that it grew 1.2% in the last year. But then you read that it only grew 0.2% in the last quarter. And, in fact, it shrank by 0.1% in the last month. Clearly it grows at different rates over different time periods. If I’m interested in the current trajectory I might look at what it did in the last week, or the last day, or even the last second. (I know that’s kinda hard to do with the economy, but it’s just an example).

      As my time interval gets shorter and shorter I get closer and closer to the _instantaneous_ rate of change, otherwise known as the derivative. You might argue that there’s no such thing as an instantaneous rate, but I will argue back that I can get arbitrarily close. That’s where limits come in. They let us talk about arbitrarily small things (or large things — but for differential calculus it’s always small things). Our notation for an arbitrarily small — or infinitesimal — quantity of time is dt. If E is the size of the economy then its derivative, or instantaneous rate of change with time, is dE/dt. It is “the limit” of the rate of change in the size of the economy as the time interval we are talking about gets arbitrarily close to zero.

      What use is this, other than a fancy notation? Well, the world is about nothing if not change, and derivatives crop up literally everywhere in the physical sciences as well as economics and other social sciences. Using the technique that Nancy demo’ed, plus some handy shortcuts, we can deduce a lot of useful stuff.

      (P.S. I went back to school after decades away from maths too, and got an advanced degree in astrophysics. Never too late).

  • King Cobra 3 years ago

    At 3:50 she says coordinant. That should be coordinate. Are we sure she knows her stuff or is acting, and actress?

  • Mucho Macho 3 years ago

    If math were really as boring as you make it out, we would’ve never made it to the moon

    • J. Larsen 3 years ago

      Oh, actually, we never did – it was the hoax of all hoaxes. Oh, and your comment is bull on other levels too.

    • Mucho Macho 3 years ago

      Touché, darlin’

  • de5letras 3 years ago

    Why she laugh when she is explaining? I don’t think the equations are funny…🙄

    • Raul D´Empaire 3 years ago

      Because she kniws most of us are clueless….

  • leso204 3 years ago

    This maths crap gave me headaches at school later in life i now suffer migraines … go figure

  • Charles Jones 3 years ago

    You are more lovely than derivative. Love you

  • Doug Graves 3 years ago

    Great Video! Don’t forget! August 13th is National Left-hander’s Day! See you there!

    • dooovde 3 years ago

      She’s writing with her right hand. The picture is flipped so that the writing is readable to the viewer.

    • Doug Graves 3 years ago

      @dooovde hey…you’re ummm “right”

  • Jennifer Jisun Lee 3 years ago

    you are fucking amazing thank you

  • Ymphaidien Sutong 3 years ago

    why r u laughing while explaining? lmao😂

    • Raul D´Empaire 3 years ago

      Because she knows most of us are Cluelesss….😁

    • The pilot 3 years ago

      @Raul D´Empaire 😂😂😂😂

  • Him Next Door 3 years ago

    This girl is a perfect 10.

  • David Lunn 3 years ago

    Ah but who won the rugby league challenge cup in 69 and 70 ???

  • SDBS2 3 years ago


  • Victor Contreras III 3 years ago

    Great, im learning derivates and improving my english listening

  • massimiliano de angelis 3 years ago

    Nancy I would became your boyfriend

  • GulamMustafa Kazi 3 years ago

    She is actually righty . .in this video she is mirroring .. . Am I right ? 🤗

  • ynotbegreat 3 years ago

    The substitution (x+h) to 3(x+h) ^2 is confusing.

    • Nucle4r Penguins 3 years ago

      When it comes to plugging in values into a function, I find it best to think of it as like a “machine.” where any input of x that’s inserted into the function can be mechanically changed to give a new output value. The process is the same regardless of the value of x since f(x), the function, is defined in it’s relation to x.

      ex: Find f(x) evaluated at x=2 where f(x)= 3(x^2) +12

      (since the function can be evaluated at any point of x, we can just plug in our value of x which is 2 in this case and solve)

      f(2)= 3(2^2) +12
      = 3(4)+12

      however when calculating the derivative she needs the same function evaluated at x+h this time (and we can do this because despite it looking weird, x+h is just another value of x, it’s just being added by some random constant h), like we did before for substituting 2 in place of x, we do the same but x+h for x now, thus:

      f(x+h)=3((x+h)^2) +12

      is the value of f(x+h)

      when she was calculating the derivative through its definition of the limit, she just plugged in that very same definition of f(x+h) that was just found into the derivative formula where f(x+h) was. Since the value of f(x+h) was found to be 3((x+h)^2) +12, we would substitute this in place of f(x+h). This is also done the same for f(x) which we would substitute 3(x^2) +12 instead. Thus:

      f ‘ (x) = lim f(x+h) – f(x) = lim {3((x+h)^2) +12} – {3(x^2) +12}
      h->0 —————–
      h->0 ———————————————-
      h h

      I bracketed the substituted terms trying to make it more clear. Anyways I think I’m done at this point but I do hope this helps you gain a better understanding of what was going on in the video 🙂 .

      Also @NancyPi awesome video, this was probably one of the best introductions to the derivative I’ve seen on YouTube!

    • ynotbegreat 3 years ago

      @Nucle4r Penguins Thanks very much!

    • Nucle4r Penguins 3 years ago

      @ynotbegreat no problem

  • Matteo Albanese 3 years ago

    “Only in one point” is not correct…

  • Lourdes Rodz 3 years ago

    Life is not that simple, i felt that

  • Chayito C. 3 years ago


  • 6 String 3 years ago

    So you are right handed then?

  • Michael Minkler 3 years ago

    The perfect woman doesn’t… 😱😱😱

  • Ashish Trivedi 3 years ago

    I have forgotten limits n function 🤦‍♂️😩😨🤯but seriously I’m going to catch up with that too..nice efforts n thx!

  • Otie Brown 3 years ago

    You are better looking than my last math teacher.

  • Kevin Tran 3 years ago

    Awesome video! Thanks so much!

  • J. Larsen 3 years ago

    What a voice! Soft spoken ladies like that… I could listen to you all day!

  • ocean moyo 3 years ago

    … Nancy idk how my gf is going to react after seeing this comment but trust me you are bae

  • LeverPhile 3 years ago

    Nancy, are you writing backwards?

  • Paul 111 3 years ago


  • EK Lim 3 years ago


  • KSK PILIPINAS 3 years ago

    and she also beautiful,,,

  • Hal Staniloff 3 years ago

    I was a math major in college. My peers didn’t look like her! Gorgeous; smart; great teacher. Thanks for hitting me on all levels! ✨😄✨

  • Bob Channell 3 years ago

    At about 6:45 in the video, I don’t think you have a good approximation of the slope right at x. After all, we can see the slope is negative at that point. I know you’re getting to it though. As you move the points closer, the approximation gets better.

  • Toby Wilson 3 years ago

    Nice job on the explanation… I took calculus in high school but did not really get what was going on. The teacher started off teaching limits. I found a book in the library … Calculus for the Practical Worker … he explained it from a different point of view…this was an eye opener it was then that the limit method made sense to me

  • Abdelrahman Okasha 3 years ago

    so cute and lovely way of teaching

  • Amir Khan 3 years ago

    Hi nancy. Are you single

    • wem wem 3 years ago

      i don’t think so.she is not your dish.

    • Amir Khan 3 years ago

      @wem wem who are you? Let her to answer me! I’ve been nice to her

  • Curatica C 3 years ago

    What is a “tangent” Mrs. Blue Eyes? We love watching you but not hearing you talk about mathematics — that is not your genre!

  • Pralhad Sawant 3 years ago

    In case, you didn’t notice, she was drawing and writing from right to left perfectly.

    • wem wem 3 years ago

      yes, it is a skill

    • Pon Dog 3 years ago

      Video is flipped….

    • Pon Dog 3 years ago

      Probability of her being left handed is low too. Another math lesson for you

  • ForexCityCapital 3 years ago

    You just made Newton and Welhim jalousie and made Cantor proud. You explained the limits in a nice talented way. A little production of Archimedes and infitesimal delma would’ve been grate but I think you did a good job here .

  • Shyam nice mam i lick shyam 3 years ago

    Nice mam

  • Imperial Dynamics 3 years ago

    she could teach me anything

  • Şükür Şükür 3 years ago

    Ooo arvada bak

  • Mark Oppuse 3 years ago

    Derivative was created by Wall Street Einsteins that caused the 2008 crash so my dear you’re a little late to educate us on derivatives.

    • Farouk Abdallah 3 years ago

      Have some respect . She’s an MIT graduate . MIT graduates do MATH at a very high level so they can be prepared to be scientists in the best research and development labs anywhere in the world . She took courses and passed exams which are serious . Instead of being jealous of her you should take her as an inspiration for you to be like her and do more and better for yourself and for the world .

  • John Armstrong 3 years ago

    I love calculus…now.

  • Adrian Perez 3 years ago

    Your facial expressions make me feel like you yourself are not fully convinced😬

  • Gahara Raschedian 3 years ago

    This was a great way to explain the concept although I think you made a very minor mistake somewhere at the end of the video when you said that 6x is the derivative of the f(x) at “any” instant. Does the slope of the tangent line not change at different points on the graph? Nonetheless, beautiful explanation. Thank you, Nancy!

    • Marco Pisano 3 years ago

      Yes it does change, and so does 6x for different values of x. She did not make any errors. By any instant she means any x.

    • Gahara Raschedian 3 years ago

      @Marco Pisano My mistake. I apologize.

  • Tom Scott 3 years ago

    we should do some math sometime! maybe you can teach a really dumb model how to solve fermat’s last theorem …. 😉

  • AhBein CestCa 3 years ago

    I have to do this the next year… jeez!

  • Amjad iqbal 3 years ago

    You explained rightly

  • rthelionheart 3 years ago

    What is this lady’s background?. Anyone can post anything on YouTube these days🤨

    • Farouk Abdallah 3 years ago

      She’s an MIT graduate . It’s in the video description . MIT stands for Massachusetts Institute of Technology . The MIT is the n°2 University in the world for 14 years in a row in the Shanghai ranking .

    • rthelionheart 3 years ago

      @Farouk Abdallah Dude, I know what MIT is. She’s the one who’s completely unknown.

    • Farouk Abdallah 3 years ago

      @rthelionheart So at first place you doubted the lady’s competences by asking her background , and now knowing her backround and understanding that she has competence you say she is unknown … What being known or not has to do with practicing math ? Being from MIT isn’t enough ? And there are 25 000 students at MIT , could you know all of them or even 10 of them out of the 25 000 ?

  • Pon Dog 3 years ago

    I only have ADD with this teacher

  • Kaustav Saha 3 years ago

    Hey Whitney Cummings is a math teacher!!

  • Höher wertiger 3 years ago

    women what?

  • Yasir Moudood 3 years ago

    Very Helpful in understanding derivatives, Please also make a video explaining basic integration.Thanks

  • Pakistan Visit 3 years ago

    me from Pakistan

  • adolf hitler 3 years ago

    yeah…so what was I watching?

  • Badruddin Shaikh 3 years ago

    Thank you mem… God bless you

  • Jim Bullock 3 years ago

    I first took Calculus 50 years ago. Thank you for the clear and concise explanation of what the derivative is.

  • Razvan Nagy 3 years ago

    Youtube hate science this is the fourth channel of science from which I am unsubscribed for no reason I just found another one now about 2 hours, 2 hours and a half so if anyone of you has this shit problem with Youtube like me that is no coincidence. It’s direct sabotage from Youtube itself

  • Abdul Qadir Kakar 3 years ago

    Very great

  • klfmc rjn 3 years ago

    Oh hi, excuse me… What are you doing going?

    • YOGESH KUMAR 3 years ago

      Very nice

  • Mark Hammarskjöld 3 years ago

    She Writes Backwards Most Beautifully

    • Đorđe Dimitrijević 3 years ago

      she does not write backwards

    • Mark Hammarskjöld 3 years ago

      Yes She Does She is Writing Backwards so the Audience Can Read it Forwards

    • Đorđe Dimitrijević 3 years ago

      @Mark Hammarskjöld NO, she is behind glass and she writes from right to left and we see it written from left to right

    • Mark Hammarskjöld 3 years ago

      If You Were to Stand Behind Her You Would See She is Writing Backwards… or She is Writing Forward and Then Flipping the Actual Video To a Mirror Image or Flip Horizontally in a Video Editor…So

  • egoistaX 3 years ago

    she is so fukin clever

  • John Shea 3 years ago

    thank you Nancy for helping me get thru Calculus and Econ 2

  • Calvin K 3 years ago

    Resolution is the question. it is impossible to calculate as it divides infinitely which is why we end up using constants, so it will always be an estimate.but then again, what the hell do I know., i’m just a mechanic 😉

  • It'sTheEndBoys 3 years ago


  • parvez rafi 3 years ago

    Math became so beautiful…

  • policarpiojr gonzales 3 years ago

    “Greater than Zero but not Greater than the function x; f(x)”

  • MSB Gaming 3 years ago


  • Event Videos 3 years ago

    Great trick to sell your beauty.

  • George Costopoulos 3 years ago

    tight …..

  • qboycorvi 3 years ago

    Plot twist: the video is actually played in reverse

  • Prit Patel 3 years ago

    I want to know how you make this type of video…. it’s written from back side…plz tell me how?🙏☺️

    • Coenie Breytenbach 3 years ago

      Video editing software!

  • afique hasan 3 years ago

    nanacy you r very beautiful love u

  • Arushi Sharma 3 years ago

    Omg… I understood all… Tqqq ❤❤❤

  • Ashutosh Jha 3 years ago

    U r so beautiful…

  • Al Biss 3 years ago

    I wish you a beautiful career and life! You seem to have all variables under control.😃

  • Ajit Mail 3 years ago

    Such a beautiful teacher all will love maths

  • Paul Neilson 3 years ago

    She is not writing backwards, the image is reversed.

    • Ghost572 3 years ago

      I think this should be a test for stupidity or possible naivety given from the very start these videos were being posted you get morons asking can she write backwards. What a stupid question to ask lol.

    • DEM0N_ KING 3 years ago

      No man it is mirrored

    • that directioner 3 years ago

      @Zhiguo Wang my old orthopedic surgeon had those in the exam rooms at the hospital she works at. they have them to make it special for the kids

    • Dan Nichols 3 years ago

      @Zhiguo Wang Not *that* complicated: it’s a glass chalkboard pumped full of light. Bright light-emitting diode (LED) lights are placed along the bottom and top of the glass and reflect light within the glass pane. When you draw upon the Lightboard with a coloured dry erase marker the LED lighting causes the marker ink to glow. Multiple coloured markers can be used for further impact. More info:

    • Dan Nichols 3 years ago

      Look at the large number of upvotes the OP got, compared to the meager upvotes the the sarcastic buffoons got. It was useful info.

  • lili shyta 3 years ago

    Our teachers were speaking different language when they taught us. They made sure for us to feel stupid.😂😂😂😂

  • Tushar Jaggi 3 years ago

    Wow she is so sexy 😍😍
    From which country does she belong ?

    • Hijazi. 3 years ago


  • SANJEEV KUMAR 3 years ago

    So beautiful teacher 😍😍

  • Ground Reality With Roy 3 years ago

    math coupled with beautiful eyes

  • lavoisih0 lavoisih1 3 years ago

    you are so Beautiful

  • lavoisih0 lavoisih1 3 years ago

    I’m from morocco

  • OCK Mathematics Classes 3 years ago

    How u do this type of video can you plz explain

    • Reiland 3 years ago

      Google ‘light board’ or there is a video on you tube explaining it as well

  • Sarah Namwinga 3 years ago

    Really helpful thanks you very calm when explaining makes it easy to follow☺

  • Eric 3 years ago

    who is watching her instead of learning? in fact, i dont need to learn this

    • MOHIT TUMANE 3 years ago


  • EDUARDO Sarmiento 3 years ago

    thank you for taking your time to share your also for teaching much love and respect

  • Hijazi. 3 years ago

    yep, not a clue about what you’re talking about, this is so difficult.

  • prince kumar 3 years ago

    What do you eat?

  • Cyber Ty Tube 3 years ago


  • Lazy Not 3 years ago


  • Dave Fox 3 years ago

    Fascinating. I wish I could really get this

  • R Messinger 3 years ago

    I followed you until you wrote that formula near the end. I solved it at the end, but that’s too much math for the year. 🥴

  • Eli Rammikken 3 years ago

    Awesome work! Explained much better than the way my teachers did in both HS and college

  • Praval Sathiyal 3 years ago

    Wait what!! Is she maths teacher 😱 😂😂 if I had teacher like you I would have topped every maths exam…. You are hell gorgeous 😂😅😅

  • Vimlesh Singh 3 years ago

    Thanks mam……love from India

  • THE_GAMING_ NERD 3 years ago

    in love with maths from now onwards

  • sarahmt05 3 years ago

    Girl, you make everything so much easier!!!! Thanks – alot

    • moied mehri 3 years ago

      clap for him

    • AmaanVzer 3 years ago


    • PrivateFlatskie 3 years ago


    • Not Me 3 years ago


  • Deepayan Choudhury 3 years ago

    Hi Nanci, It’s a great video and your way of explaining it is really helpful to many. I would like to request you to post sequel videos for Calculus and Linear algebra if it’s indeed possible.

  • Celio Gonsalves 3 years ago

    Boa aula de derivadas ( Derivative)

  • So Amazing! 3 years ago

    If my math teacher was as good looking as you I would have 2 PHDs In math and physics

  • Kraken Fuego Productions 3 years ago

    You’re the goat

  • Burak Yildiz 3 years ago

    who cares anymore? world is going to crash! you people have no responsibilty for africa, the poors, the weak of this planet. so why care anymore about your sayings? WORLD IS IN A VERY FAST CHANGE THAT WILL STOP ALL YOUR EGOISTIC WORKS!!!!!!!!

  • Joe Mancini 3 years ago

    Humor you? I would worship you. All my math teachers were grumpy, grizzled old guys with bad breath. This is sooo much better!

  • J PAUTA BARBER 3 years ago

    Nancy i can prove pi is 3 , looks like your a Pi fan

  • Shane Allen 3 years ago

    thanks soooo much for this explanation! it’s really easy to understand.

  • Ggg Gggg 3 years ago


  • Assassin's Tube 3 years ago

    Thanks! Helped me out a lot!

  • Sebastián Pozzi Azzaro 3 years ago

    Finally! The clear, half graphical, half algebraic explaination I was looking for. Thanks for the clarity and the consistency!

  • Johnny Five 3 years ago

    Nice to see a smart, non-tattooed, non-blue haired, non-obese woman teaching math. A rarity in society today.

  • gtrmusic69 3 years ago

    Fantastic math class. Very good explanation.

  • nafees nfs 3 years ago

    Thank God for suggest your channel

  • Jangoman Lolha 3 years ago

    You are so gorgeous 😍😍 also best teacher, thanks alot😃😃

  • Tez 3 years ago


  • Djentstructer 5000 3 years ago

    Let’s be honest – Nobody came here for the math.

    • Sania 0.0 3 years ago

      Why did u come here?

    • Djentstructer 5000 3 years ago

      @Sania 0.0 It’s a joke among the thousands of this type.

    • Sania 0.0 3 years ago

      @Djentstructer 5000 oh 😂😂😂😂😂

  • Joseph Medina 3 years ago

    They say that gamer girls are awesome but i say that a girl that loves math is better

  • lionking2424 3 years ago

    I am a EE and I am getting a MS in EE. I did a bunch of mathematics. I have to say you are doing very good. Very good explanation. Do not stop. Thank you.

    And before I go can you also do some Caley-Hamilton theorem , Jordan method , some Eigen values and Eigen vectors video.

  • Sandeep Ghosh 3 years ago


  • Veronica Noordzee 3 years ago

    Dear o dear, derivatives??? No, there is nothing on this subject on YouTube. Pfffffff, another useless video.

    • freak777power 3 years ago

      Just because you have no brain, it does not mean it is useless.

    • Veronica Noordzee 3 years ago

      @freak777power Try to read, my dear! She’s doing something that has been done over a 1000 times before on YouTube! If you want to see beautiful/sexy women go to another site, please. Her presence in this video is totally superfluous!

    • Justin Y 2.0 3 years ago

      @Veronica Noordzee your vocabulary is to sophisticated for me!

    • Jacob van Dijk 3 years ago

      @Justin Y 2.0 I can see that, haha. Next time write “too sophisticated”, please.

    • Veronica Noordzee 3 years ago

      @Justin Y 2.0 You meant to say, your vocabulary is TOO sophisticated for me. Yes, I now can understand very well 😉

  • Gby P.2399 3 years ago

    Without her I would have failed my precalc class and I would be failing my calc class now,Nancy you make girls like me love math as a skill rather than an obstacle to overcome

  • Ekiskalibur Nirvana 3 years ago

    im not into derivatives but wide shoulders

  • lushin burl 3 years ago

    Ive never seen such a good looking smart person. She is incredible.

  • Priscilla Baez 3 years ago

    Thank you Nancy. Literally, I’ve been to tutoring, watched Chegg videos, other YouTube math videos, but yours is by far the most explanatory and I really get you. I like the fact that you dont try to make it hard and confusing as well as being open to new methods and easier ways for different learners. You amazing and beautiful too 🙂

  • DavyJones65 3 years ago

    i dont care about math.. i just came here for those eyes

  • Harish Yadav 3 years ago

    Super……. 😱

  • Shivam Gupta 3 years ago

    For the first time in my life I know what derivative actually means…. Great Job👍👏

    • Ruthless Goat 3 years ago

      @Danny Co A message to me that begins with a snarky insult doesn’t deserve a reply.

    • Ruthless Goat 3 years ago

      @Danny Co Not at all. I can mute you with a click of the mouse. Bye.

    • John Barrett 3 years ago

      A derivative is the same as a slope of a non linear function.

      When I was a Business student at Saint Mary’s University during the 1990s, I took an “Introduction to Quantitative Methods for Commerce II” course, which consisted mainly of Differential Calculus, Statistics, Sets, and Probabilities.

      I also had to master the four different derivative rules, Power, Chain, Product, and Quotient.

      However, we didn’t learn about anti-derivatives or Integral Calculus, but its easy to master once you learn the fundamentals.

    • TXU bby 2 years ago

      @Ruthless Goat are you ok?

    • Ruthless Goat 2 years ago

      @TXU bby I’m fine. I guess the jerk in question deleted his messages.

  • Jacob Escobedo 3 years ago

    Can I get “h” in my final answer?

  • D M 3 years ago

    NancyPi mmhmm

  • Samichi Richik 3 years ago

    wow thank u

  • Samichi Richik 3 years ago

    u made me understand maths so easily cuz i m the girl who used to score bad at uni exams….one more thing….u can try for miss universe 😉 cuz u r sooo beautiful …i wish i had yo beauty :/

  • WomdeKynthos 3 years ago

    I love Nancy Pi, I have an A in calculus and I understand it, thank you miss lady!

  • Malcolm X Clan 3 years ago

    secant line doesn’t ‘becomes’ the tangent line. stop saying that.

  • Master Maths 3 years ago


  • JaSom 3 years ago

    It was likewise explained to us, except that he was an elderly man. Well, neither am I the youngest now. 🙂

  • Amir Keshavarz 3 years ago

    May I have your email?

  • F. De Mascio 3 years ago

    Great effect on the pink line at 8:00

  • yash purohit 3 years ago

    Thanks mam. I Also undertood well.

  • Lucifer Morningstar 3 years ago

    I can’t focus on what she is explaining.

    • CasperMelchiorBalthasar 3 years ago

      ( . )( . )

    • Maaifoedie De La Rey 3 years ago

      If you can pull your head out of baphomet’s arse, you might.

    • Philippe Cuénoud 3 years ago

      Try harder !

    • Max Plankton 3 years ago

      Why does Homo Sapiens deal is with it’s consciousness of sexuality so hypocritically?

    • أحمد الشافعي 3 years ago

      you are not alone …

  • Troll Phace 3 years ago

    (3x^2 + 12)’ = (3x^2)’ + (12)’ = 6x
    (3x^2)’ = (3)’ x^2 + 3(x^2)’ = 0 + 3 * 2x = 6x
    (12)’ = 0

  • Isaiah Lopez 3 years ago

    This is the best “low down” I have come across! your awesome Nancy! thanks for doing these!

    • Iman Taghol 3 years ago

      I’d like to go low down if you know what I mean….

  • Civil Engineer 3 years ago

    I love you! Beautiful and smart. Btw joke aside, it was wonderful lecture. God bless you
    Peace out!

  • Prakhar Srivastava 3 years ago

    very nice. plz do one on integration by parts

  • Charles Abernathy 3 years ago

    Nancy, I studied up to the derivatve wout a shhool or teacher back in 1964. I don’t want to horrify you. The truth is Virginia had framed me for first degree murder in 1960. I found books on algebra I and II plane geometry, trigonometry, and calculus. After studying math every day after outside field labor and on weekenda and holidays, I got to calculus. I learned how to do the derivative using the deltas. Then I saw the short form or the power rule. I had a book on old school college algebra. So, I saw the powerrule quickly. I had twenty- five years. In short, I did not make paroll until 1974. A move came out with the title “Welcome Home Brother Charles”. To learn more about what I passed through in prison, just Google Charles M. Abernathy v. W. K. Cunningham. I went to college after leaving prison. However, I majored in mass communications/journalism. My minor was mathematics. Now, you are helping and inspiring me to finish my math studies. Thanks, Nancy and all of the YouTube math instructors. I love mathematics.

  • Moqenehela Tsolo 3 years ago

    This is when you cant hide your american accent

  • Michael Brodie 3 years ago

    I am proud to be a member of the human race just like her. NOT. She is so perfect it is ok for a grown man to cry in his pillow over her…every night.

  • Puff Dragon 3 years ago

    Damn, I wish I had had a math teacher like you when I was taking Calculus. I’d have been the most motivated kid in the class.
    Anyway, the way you give the definition of a derivative is exactly the way our textbook and professor explained it but they added a couple of things. He said the derivative had three basic interpretations that were all correct. First, the derivative is algebraically the limit of a difference-quotient. Second, the derivative is geometrically the slope of a tangent-line. And third, physically the derivative is the rate-of-change of one variable with respect to another. I think you alluded to all three but didn’t spell them out.

  • Tom Fortin 3 years ago

    Wow! A beautiful young lady who can explain calculus so clearly! Nicely done!

    • One thousand subscribers with one video 3 years ago


  • Michael Rakestraw 3 years ago

    Wow! I think you finally made all the pieces click. Thanks.

  • Abram Joshua Bardon 3 years ago

    I really focus on your eyes only. not in what you are teaching me 😀
    .. so gorgeous and smart 🙂

  • Allen Glienz Miralles 3 years ago

    tomorrow is our exam on calculus cant even focus what shes saying coz shes gorg as fck HAHAHAHAAHHAA

  • George Lander 3 years ago

    I was wondering how they made super rollercoasters safe, now I see the applications. Thank you.

  • Palaboy Trader 3 years ago

    I dont know why I subscribe here, but shes just like a magnet to me.
    I love mathermatics but since i had some brain hemorrage or something, i had a hard time remembering things.
    But I really do love mathematics and would like to get back at it some day.

    Now just using the math in Stock Trading, fun and easy…

  • Muhammad Arslan 3 years ago

    it is not important that you teach me.but it is important i appreciate your beauty. good looking.

  • Bud Petrey 3 years ago

    These videos are great. I can actually understand them. My professor can get really deep into theory and misses a lot of basic explanations, but I’m getting it all here now. Thank you!

  • Arturo Presa 3 years ago

    Is NancyPi left-handed or right-handed? This is the key to understand how they prepare a video like this. Well, the answer is that she is right-handed, even though, she seems left-handed in this video.

  • Nerd Musk 3 years ago

    Plot Twist: She’s right handed.

    • Reaping Shadow 3 years ago

      I am right handed and i can write backwards with my left easily

  • Jim Nesta 3 years ago

    This is all covered in the standard Calculus texts, at least the ones I was familiar with when I was an undergraduate. I guess if one is averse to reading then video instruction is a necessary substitute.

  • Moussa Hanna 3 years ago

    Wow wonderful

  • Amza Qamran 3 years ago

    U r v cute mam

  • takeitindballs 3 years ago

    Given that the x is always = y + h or in this case it’s just x, and in this case also the x + h is the sum of the two values, and when the h is the same as h especially, then the double of the y = the double of the x and then the slope becomes a mere function of the doubling of the sum of the substituted values, in this case easy to determine, but if not you just add another variable and then double it to divide it by the function of the simpler value, or z. Thus you get it.

  • mahar akram62 3 years ago

    Wonderful please

  • mahar akram62 3 years ago

    I must say that she is brilliant teacher.salute

  • Nico Sd 3 years ago


  • fedterotten 3 years ago

    She is burning hot🔥🔥🔥🔥🔥🔥

  • Iván Torres 3 years ago

    😕 How can one get it between the babe and figuring out the magical backwards writing in the air and the graphics animation. 😄

    • innertubez 3 years ago

      I actually thought the video was super clear (assuming you’re kidding of course). But I also found the speeding up and the whoosh of the breeze really funny.

  • michael 3 years ago

    Writing backward is very creative but writing on a board would be much easier to fallow. It is very distracting to write on glass.

  • Marian B 3 years ago

    This is a particular case in a single variable. You need linear transformations for a generalization.

  • Ravi Rao 3 years ago

    first line derivetive is a slop at a point on a curv not a rate , rate is when somthing diffrnsiate w.r.t time

  • Earthlights Music 3 years ago

    It’s all about calculus until calculus has cheekbones.

  • olympicsjr jr 3 years ago

    f Derivatives what’s up girl? 🙂

  • Haha MissMiss 3 years ago

    Get a personality coach.

  • zyx321123xyz 3 years ago

    I pressed the Thumb-up button after First Millisecond of this video!:).. and subscribed after two milliseconds

  • Charles Benson 3 years ago

    i want to be your derivative so that i can lie tangent to your curves

    • sadmask 3 years ago


    • ElectroShock 3 years ago

      Haha. Genius.

    • Saumya Elixir 3 years ago

      When you aim to be a lover but end up loving maths😂

    • Mir AbuBakar 3 years ago

      Evil genius 😈

    • Mir AbuBakar 3 years ago

      I am waiting for your answer

  • Rejie Boy Cortes 3 years ago

    Thank u so much!❤️

  • Josue Moraes 3 years ago

    thought you were going to talk about finances.. 😀

  • Scott K 3 years ago

    This is a great video, very clearly explained!

  • Vikingkompass 3 years ago

    I just subscribed. Not necessarily because I want to learn.

  • ⵉⵜⵔⵓⵏⴰⵓⵜ 3 years ago

    I’m here purely for the calculus.


  • Stacy Yardley 3 years ago

    Hi Nancy

  • Lokesh Lutchmeenaraidoo 3 years ago

    ah yes my daily asmr

  • Rob Morlan 3 years ago

    The average adult male seems preoccupied with
    Mammalian sexuality, not Mathematics!

    • Skryptonium 3 years ago

      Alright Rob go do boomer things

  • Armando Fernandez 3 years ago

    Nancy. U R a genius. keep that way!!

  • Anupam Jana 3 years ago


  • Bad Accent 3 years ago

    That girl is fine! I wouldn’t mind making a couple of derivatives with her.

  • Parkman 3 years ago

    You speak at a pace I can fully understand. Thank you!

  • Evan zhang 3 years ago

    I want to be your sweet dady .

  • Boss Rooster 3 years ago

    i ate my crayon 🙂

  • kush khandelwal 3 years ago

    Be a teacher in mechanical engineering class. Please

  • Newtube 3 years ago
  • Harry Dickus 3 years ago

    If she is our Calculus teacher, I’m sure we’re all gonna just gonna wack-off in class.

  • innertubez 3 years ago

    Gorgeous and smart teacher. *subscribes*
    The explanation of derivatives was so clear and well animated!

  • OneTwoPlay Witty 3 years ago

    unfortunately she sounds like miss south carolina … such as the Iraq.

  • Juan Ortiz 3 years ago

    Simplemente HERMOSA

  • CMDR Bobert 3 years ago

    That was incredibly helpful, I just had my first lectures on derivatives a couple days ago, and this part was breezed over as if it were assumed knowledge. Thank you for breaking it down.

  • dante3543 3 years ago

    Oh my lawd… I’m filled with Calculust…

    Mean Girls on Broadway reference.

  • terminalgremlin 3 years ago

    I don’t know much about math but I can count to 10 and she is a 10

  • Witz Prinz 3 years ago

    You probably worked really hard to make this video and that is great but I really couldnt understand what you were trying to say It felt like you were repeating yourself a lot and try to justify the reason to learn the stuff you try to teach, I think that you like math maybe “love” it but I feel like you are trying to be someone who pleases “everyone” and doesnt please herself. (purely my opinion but you should try to du stuff how you want to do them)

  • SFB 3 years ago

    Who cares. How you doin?

  • Named 3 years ago

    Best channel on youtube….

  • Darcy Larangeira 3 years ago

    The question: What is ddddtiv? My God, what a high speed! My gosh.

  • DIMITRIOS LOVE YOU 3 years ago

    Omg LOVE YOU !!!!!!! ❤❤❤❤❤❤ love you 😍😍😍😍😍😍😍😍😍😍😍

  • mardan beneshan 3 years ago

    very good thank you

  • KidScipio 3 years ago

    Math is hot

  • Ryan Stone 3 years ago

    Cute Nancy, come visit Uk… x

  • Timothy Keech 3 years ago

    I think it would be important to point out the danger of h actually becoming zero which must not be allowed to happen. Approaching or tending toward zero allows a mathematically rigorous result in that magical moment where h finally disappears and the slope clicks into place as the final act in an inching closer and closer process. This is mathematically beautiful. As for Nancy’s mirror writing – if that was live it was amazing but I am suspicious . . .

  • brazuka 3 years ago

    The basic intuition is: the tangent of the angle of a pythagorean triangle of “infinitesimal” size (e.g. arbitrarily small but never zero). As this notion is problematic in itself (how small?), math people created the theory of limits, to put the foundations of mathematics on “solid grounds”. Doesn’t matter if MIT or any other school, this is the sort of “this shit works so take for granted and forget your philosophical misgivings” until you study real analysis.

  • Evans Olc 3 years ago

    Very helpful!

  • Robert jones 3 years ago

    I guess this derivative is not about financial markets .. ?

  • Dr. Duane D. Miller 3 years ago

    Seems strange the way you are writing. looks like you are writing on glass, are you writing backwards so we can read left to right? If so, I am impressed! 🙂

  • Fraxals 3 years ago

    I flipped out when i was younger and realized that this woman is not only great at math but she’s writing left handed and she’s writing everything backwards. Like how ? And all at the same time?

  • Saeed M 3 years ago


  • H Mama sas 3 years ago

    I am an electrical engineer, I do research on electromagnetic field with simulation tools, I am very good at advanced calculus. I know Riemmanian geometry and topology. And I am watching this video. I just want to know what the derivative is, I guess…🙄🙄

    • Yuanrui Chen 3 years ago

      A man of culture, that’s who you are.

  • Robert Zino 3 years ago

    it was pity that I was never teaching math with teacher like You…You know what i mean:)

  • FaZe Jay 3 years ago

    This really helped me! 🙏 Thanks so much! You’re a great and beautiful teacher!

  • Masht Ali 3 years ago

    cutest mathematician in the room.

  • JudgementRavi JudgementRavi 3 years ago

    I ever like direct instead of beat up @ da bush 😃😄😀😍

  • Pedro Jardim 3 years ago

    Can we just clone her ?

  • XWF_404 3 years ago

    Dammmmn , I’m in love with this girl 💃😍

  • Hutch Reetv 3 years ago

    hi nancy

  • Mohammad Ahmadi 3 years ago

    This was very pleasant to watch, and the explanation was great.

  • Serge 3 years ago

    So enjoyable to learn maths from a smart woman on youtube. I must nevertheless confess that it takes all my will power to focus on the explanations and not let my mind be distracted by the charm and sweetness of the teacher. :0) Good job Nancy!

  • RbnG 3 years ago

    Si en el secundario hubiese tenido una profe así, en lugar de la bruja que tuve, habria aprendido bien las derivadas !!!!! Saludos .

  • 99 The High Street Blakeney ART 3 years ago

    I just clicked to watch.

  • sherwin salvatori 3 years ago

    Am guessing she has 2 degree, s in maths and physics

  • Desert Rose 3 years ago

    I never had a math teacher this pretty.

    • Akhil kun 3 years ago

      damn..she is sexy

  • muhammad usman 3 years ago

    Can you also do a linear algebra course??

  • lavkmr1 3 years ago

    Why did you choose maths for bf

  • Professor Emerald 3 years ago

    Of something idk

  • Gordon Wu 3 years ago

    she writes backwards in the mirror image with the left hand?

  • One thousand subscribers with one video 3 years ago

    Plz make a vdo on Maxima-Minima

  • R 3 years ago

    Take it I’m the only one here that doesn’t know wtf she talking boutcuz I’m confused

  • twins les 3 years ago


  • R.F.A 3 years ago

    I watched the whole video avidly but learned nothing. I wonder why..

  • Anton 3 years ago

    She is great and one would hope that we would have a better math to calculate this.
    It looks like a wave so maybe some kind of wave function or equation would make it easier? Watching this math is like pulling teeth or trying to describe fractals without fractal math…

  • Tameem Motala 3 years ago

    Just watching this vid because of her i don’t even need to know any of this

  • Yaya Belkacemi 3 years ago

    my teacher tell me to put the lim in the end of simplifying. if i do like you did. is it right???

  • Mohamed Tohamy 3 years ago

    You are so beautiful 😍

  • Rudy Stefan 3 years ago

    Wait a minute. You are beautiful and you’re smart. Why the hell aren’t you fat?

  • Anthony Toorie 3 years ago

    My …..

  • PRATEEK DUTT 3 years ago

    I m in 7 th class why i am here

  • moied mehri 3 years ago

    please make a video for complex number

  • Jonathan Duran 3 years ago

    I am currently studying machine learning however I never went to college so my primary source of study is basically Youtube lol. Anywho, I found this to be extremely helpful in understanding the back propagation algorithms in a neural network! I look forward to more of your videos as my learning progresses! 🙂

  • Vaginer Baginer 3 years ago

    So awesome, thanks so much!!

  • Devi prasad Chhotray 3 years ago

    Mam please little bit speed up your voice

  • Gary Marshall 3 years ago

    Slope witchery!

  • عبدالله 3 years ago

    I wish that you were my teacher in the University rather than the loser teacher in KFUPM

  • ? 3 years ago

    She doesn’t write backwards she reverses the video of her writing forwards, you can see where the video skips just before. Call off the witch hunt.

  • Michael Nickname 3 years ago

    Great writing honey

  • KeishamVaskar Singh 3 years ago

    Shes hot, smarts has a nice voice and can write backward. She’s perfect.

    • christopherscottb 3 years ago

      The image is reversed. Fortunately, I’m guessing the ability to write backwards is not really on your list of what makes a woman perfect.

    • Ghost572 3 years ago

      Do you honestly believe she can write backward, you get tricked easily lol. I mean there isn’t a human on the planet that writes english and maths backwards so I don’t get why you think its some special trait a person can learn.

    • ฟิ โกโล่ 3 years ago

      eystle girl

    • CorellianSombreroMann 235 3 years ago

      @Ghost572 I can, it’s not too hard.
      Try it yourselves

  • KR Online College 3 years ago

    Hi,I am interested to create and publish my math video lectures on your YouTube channel

  • Vishnu Semwal 3 years ago

    Mam can u plz tell me where is your institute… I’m very poor in maths. .😥😥

  • Thembinkosi Kunene 3 years ago

    I didn’t get this in 1990, still don’t.

  • Alex 3 years ago

    my gf wants me to watch a different math youtube channel bc this one makes her jealous.

    • TheRichestCadaver 2 years ago

      Walk away now!!

    • Gnomed Mother-Fucker 2 years ago


    • KoolMintBluu 2 years ago


    • John Bigby 2 years ago

      lol Just put on a monocle when you watch and say things like “Indubitably so.” When your gf sees how serious you are about the math she won’t be jealous anymore.

    • x LuTec 2 years ago

      @bors b 😭😭

  • C 3 years ago

    All I can say is wow !😧

  • Batu Yilmaz 3 years ago

    I already know what derivative is but I’m still gonna watch it, who cares! Right?

    • Julita Aishah 3 years ago

      Because of the tutor isnt?

    • Axl Rose 3 years ago

      @Julita Aishah Nah, is good to review this kind of things. And the tutor explains really well

    • Julita Aishah 3 years ago

      @Axl Rose you guy just want to watch it because of the tutor is pretty. What if fat black girl be a tutor..would you watch it? Admit it babe!

    • Axl Rose 3 years ago

      @Julita Aishah I mean, if you see that a math video has more than 300k views and 90% of the thumbs are thumbs up, you can deduce the tutor explains things well. I would still watch it if I’m interested in the subject(like in this case). Sorry but you’ve lost this one, you girl

    • Julita Aishah 3 years ago

      @Axl Rose ouuh not talking to you man!! Im just write it randomly.

  • Michael Jetnikoff 3 years ago

    Hi,thanx,if nonfrinitum)function)^0=1,but nonfrinitum function non caunstant thus 1 be a function darivtumIntegrum of peristalsum of non linear (noninfrinitum)function INTEGRUM to ST/G FIELD OCEAN,love,bliss thanx XAMichael XAMBUNJILOM

  • omar66277 3 years ago

    or get a calculator

  • ExploringLA FAN 3 years ago

    She maybe good at math but she can’t spell “second” 😂 secant!

  • Cristian Agredo 3 years ago

    Cali campeón !

  • shbitz 3 years ago

    Notice that she is writing from right to left but we are watching her writing normaly from left to right .shit .

  • Jesse McElroy 3 years ago

    wow this is the best and most thorough explanation of a derivative I have ever seen. Thanks Nancy for taking the time to explain everything.

  • Chris Delaplante 3 years ago

    i don’t understand a word, but for some reasons i love to watch this vidéo.

  • Michael Nickname 3 years ago

    Intelligent and a beauty….. where is the hook? (Translatet from german😉)

  • Mr. Fadhil 3 years ago

    I guess she is a twin sister of Megan fox.

  • Ryan Lopez 3 years ago

    So does she write all this in front of her and then mirror the image before posting?

  • S.G. 3 years ago

    Thanks for the good explanation , keep up the good work. greeting from Arabia.

  • Alex Romero 3 years ago

    Thank you.
    Excelente video.

  • onlyullash 3 years ago

    Thank you, Nancy

  • kiril maru 3 years ago

    It has nothing to do with this video’s contents, she teaches very well.

  • TheLuismondo 3 years ago

    Pretty good video, exquisitely edited, produced and double purposed. You can either learn calculus or delight your view with a beautiful highly educated lady.
    Of course it deserves a like.

  • C P 3 years ago

    Wow, first time I find derivatives could be so interesting (i.e. I was watching for more than 10 seconds… I could listen whole class). Derivative that! 😊 (I bet her students must be quite good at it)

  • Saint Eye 3 years ago

    Sexiest teacher on planet 🤹

  • Ray Wereblood 3 years ago


  • manuelmama 3 years ago

    muy bien explicado, gracias desde Madrid. well explained, thanks from Madrid. ¿Escribes como Leonardo? Do you write like Leonardo??

  • cizixap 3 years ago

    I missed everything that she said.

  • Vertex /F 3 years ago

    Nancipi stop everything you do in life… we know you can’t actually write backwards you flipped the screen we tried it to see if we were correct and we were write I liked you’re vids now I’m a hater

  • bind dhruv kumar 3 years ago

    Really helpful for me

  • Anand Kulkarni 3 years ago

    kids IQ will tend to infinity if Nancy became the derivatives teacher while lim h->0 :), i have no idea what to tend to 😉

  • Charles Says 3 years ago

    Ppl say math is confusing, what’s confusing is I actually got this. Thank you Nancy 🙂

  • alejandro espinosa 3 years ago

    Yo ni siquiera se Ingles…

  • desmond rose 3 years ago

    Beauty and brains were very well. Thanks for been a good presenter

  • Angel Morales 3 years ago

    Mire ha mi yo tengo halgo ke exponer sobre Hoyente ha distansia local y mucha cosa pero cuando duerme el fuersa de comunicasion adisional de generasion continuada hasta dias de hoy tanbien cuantas persona aplicar esa MATEMATICAS no entendible o con un ofisina de ufolojia se puede denunsiar el primer caso

  • Poonam Devi 3 years ago

    Mam please make the video of statistics of class 11 .

  • Brandon Camp 3 years ago

    Grow up, dweebs.

  • David A 3 years ago

    This video was recommended to me…. and although I’m no longer in my calculus II course, I become a bit nostalgic of the times I would stay up late watching your videos to solve just a few questions… ah good times! Thanks for your help during many countless efforts at my homework and exam preps!

  • Jo Lha 3 years ago

    Are u sure ur a math teacher

  • rex ryan 3 years ago

    Me too. Shes talking alot about x. Like how many 6 x she had in one derivatives?..

  • Alex Grossman 3 years ago

    When a beauty girl taking something incomprehensible to me.

  • Niaz Ahmad 3 years ago

    Nancy your way of teaching is excellent.

  • MrDoublekey 3 years ago

    She is so pretty for math

  • MS 3 years ago

    She’s the dream math teacher

  • timber_beast 3 years ago

    she mirror-writes like Leonardo.

  • Opera Nada 3 years ago

    Smart and sexy.. Most wanted wife

  • AstoundingJB 3 years ago

    I got a PhD in Physics, a major in Physics and two minors, one in Computer Science and one in Pedagogy. All of my professors were ugly and bad looking. If I had met you, I would have fallen in love from the first day, and my life would have been different… Who cares about derivatives, after all?

    Anyway, nice explanation (and charming voice tone)!

    • Christophe Ortiz 3 years ago

      And you would not have had any degree since you would have been too concentrated on something else…hahaha

    • Anders Eriksson 3 years ago

      Holy shit dude you have some serious academic accomplishments. Good for you and way to go. Impressive.

  • bill belly 3 years ago


  • Michael Lewis 3 years ago

    You should turn comments off on all of your videos. Too many disgusting men comment here. I am not male, my YouTube handle is pseudonym.

  • venom827 3 years ago

    Thank you so much for this explanation. You have no idea how much this bothered me. I’ve been studying mechanical engineering for over 5 years and just used the derivative rules without knowing what exactly I’m doing. So this helped out a lot.

  • sjmunoz 3 years ago

    ok this is all very nice but…
    how do you do that mirror effect on this video !!!!

  • christopherscottb 3 years ago

    I hate to correct a girl that I have an insti-crush on, but you’re pronouncing “coordinate” with an extra ‘n’ at the end; i.e. the last syllable is pronounced “nit,” not “nint.”

  • Tom Meyers 3 years ago


  • Kapil Ranpise 3 years ago

    Hey @nancypi ..i study less n i only watch you…u so beautiful

  • Rizal Abudzar 3 years ago

    Great explanation thanks tho.

  • MATHME MATRIKS 3 years ago

    Why we take Y as f (x) please Nenci tell me

  • Kasper369 3 years ago

    thanks teacher i got 75/100 in my cal 1 test thanks a lot

  • John y53 3 years ago

    She’s gorgeous, I can’t focus on the explanation.

    • RAMZI SUMAHAH 3 years ago

      telllll me about it hahah

    • Alisteire de Jesus 3 years ago

      hahaha lol

  • Andy Music Studio 3 years ago

    may I be your Fourier transform ?

  • Taqu3 3 years ago

    Could you explain fractional derivatives ? (you are fckin hot!)

  • Shubham Singh 3 years ago

    Trust me , no one came here to learn derivatives .

  • Suleman Mohammed 3 years ago

    I miss your channel

  • Anand SHUKLA 3 years ago

    Subscribe for beauty with brain

  • Comics Staan 3 years ago

    HOW NANY HOW?????

  • Mr. ZZ 3 years ago

    You can do mathematics with me all day long❤😍😍

  • Sunil Gowda 3 years ago

    Nancy stop the maths lets get to chemistry

  • Garfield Show 3 years ago

    NancyPi, it makes my wavy Ocean Liners 💘 ( Derivatives )

  • Maher 3 years ago

    where do have your board? thank u so much

  • nangamyatmon 3 years ago

    Thank you

  • Ensar 3 years ago

    it is not posible to focus…

  • Kevin 3 years ago

    I came here to learn derivatives.

  • Andrew 安堵龍 Stewart 3 years ago

    So you are saying that the point where her hair touches her shoulder has a slope, and we can touch that slope if we try to think about it, using calculus.

  • Vinay Kumar 3 years ago

    I did not understand anything.

  • je psi igr 3 years ago

    If ur my teacher I will never skip the class lol just kidding

  • dazza X 3 years ago

    Like it you put it out simply .who needs school when we have this channel. Years later all this made perfect sense with calculating constructions fem method , although now software does it for you but basic understanding is extremely important.

  • Steve Tan 3 years ago

    Where is the f(z) ..speed equation..beside the “slope”..#xyz3dtrading

  • Krishanth R 3 years ago

    Half way through the video I’m like 😳🙆🏻‍♂️ but I love slopes now ♥️😊👍🏻

  • Hamse Ali 3 years ago

    15 points😭😭😭😭 I wish if I watched this video before taking my exams

  • Amit Patel 3 years ago

    how does she write backwards ?

  • Me 3 years ago

    Teaching math in TROPICAL climate…

  • João Marques 3 years ago


  • Lavalambtron 3 years ago

    Did you really wrote that in inverted form? You alien.

  • Jaded Hasan 3 years ago

    My attendance would be 100% if i had her in my college life..

  • Abdul Jabbar ALSHARIF 3 years ago

    If we have a teacher like you at the Uni, I will attend all my lectures at my uni everyday, even if it’s off I will go to the Uni. I wish I were a mirror so you can write on me.

  • H.A. SHAW 3 years ago

    I’m not interested in a thing like Derivatives … but watched the whole video. 🙂

  • Ghost_42 3 years ago

    Mathematics is really beautiful 😌

  • Sergio P. 3 years ago

    Why am I even here? She’s talking Chinese..

  • Claudio Osorio Dorado 3 years ago


  • unlimited system 3 years ago

    yiure not beauty btw,,,very bored,,,,its easy….,,,,

  • 222ableVelo 3 years ago

    Wow that’s awesome I’ve never heard it explained like that. If my T.A. in college would have explained it like you, I might have been able to actually understand it. Thank you.

  • John Papazisis 3 years ago

    Finally. the best explanation ever. I get it!!!

  • Leonard Wong 3 years ago

    I suck at Maths. Good to know!!

  • Maaifoedie De La Rey 3 years ago

    Well, I did take Math at uni 2 decades ago – now have to help my middle school daughter with hers, and needed to ‘refresh’ (first understatement of the new year) my memory. Turns out these videos are all I need. In fact, I think she would probably do better by directly watching this, than me explaining it hah ! But I’m going to watch these anyway.

  • Anders Eriksson 3 years ago

    The fact that this girl is so smart and intelligent makes her even more beautiful. Like all class. What a catch total wife material all day..

  • Anders Eriksson 3 years ago

    In all seriousness though, thanks for this nice instruction and explanation. I’ve watched a few of your videos as I have been doing a lot of upgrading. All the way back to logarithms Haha.

  • Ali Alabbas 3 years ago

    Great combination beauty + intelligent. They never come together but this one breaks the rules 😁

  • Hamza Raja 3 years ago

    this is great help Nancy and gosh you are beautiful

  • Trojan Hell 3 years ago

    This girl is so HOOOTTT

  • IBT yoink Nouri 3 years ago


  • Jonney Silver 3 years ago

    Nancy do you have lessons on Tensor Calculus and Vector Calculus, I think you might be my only hope of learning those.

  • John Alley 3 years ago

    I love how personal this is. I love the way you move the secant line with your hand (Should have attached the dot to the line and moved them together, maybe). The acceleration noise is perfect.

    Simple, novel, brilliant; Subscribed.

    Keep up the great work. Really. Keep it up.

  • Emmet Ray 3 years ago

    She’s HOT ..

  • XENDIOUS ! 3 years ago

    0:21 Yea yea show to me😍

  • Alex Alexiev 3 years ago

    Guys, what was this video about again?

  • hbk g,hbk 3 years ago

    Sexy calculus

  • Tyler DaSilva 3 years ago

    Hmm, yes I do math.

  • Vipin Kumar 3 years ago

    I knew it before but I think now I know it really better. Great Explanation.Thanks.

  • Copaceanu Ionut Bobi 3 years ago

    I am not misogynistic, but I would never bet that she would know math =))

  • Prashanth Kumar 3 years ago

    I forgot derivatives after watching this video

  • Muhammad Ishaq khan 3 years ago

    I am from Pakistan,you are speaking a bit faster,I mean it is a bit difficult to understand your language,so if you🙂

  • Richard Richardson 3 years ago

    nancy pi & hannah frrrry — yeeeeaaauh

  • Waqar Hussain 3 years ago

    How you edit the video 😂😂👀

  • Cody Shallcross 3 years ago

    Thank you. Made that more clear than any math textbook. Also, you didn’t say it is up to us to take initiative. You taught.

  • Michael Xx 3 years ago

    Nancy is to math what Nigella is to cooking..

  • Michael Xx 3 years ago

    11.57-12.00 “Now we can just do some algebra!” …( proceeds to race through 5 complex limit formulae and solve for the derivative.)……….I think I’m in love!!

  • bk patel 3 years ago

    I love u

  • Panty Sniffer 3 years ago

    A Scottish mathmatician created derivatives but this guy liked whiskey a bit too much…

  • Moses Monzon 3 years ago

    Thank you so much for your very informative videos! I like how you explain the concepts in simpler English than my textbook. I also like how you use the clear board!

  • Deepak Sharma 3 years ago

    Thanks mam it’s really helpful

  • TheTooginator 3 years ago

    Advice request: I have a nephew who just completed introductory algebra, and I want to give him a short introduction to calculus and why calculus is important. He hasn’t gotten to slopes yet, and he may or may not have gotten to exponents.

    Can anyone recommend a good resource or, if you’re up for a challenge, a nice summary of what calculus is and why it matters? I have been pondering this for a LONG time and I never thought to ask for help (oops!).

    Why do I care? Because a LONG time ago, I asked my bitter but brainy older sister the question “What is calculus?” and her annoyed reply was “It’s about finding the volume of an irregular object.” Yes, that’s one application, but it didn’t answer my question. My goal is to do better than my sister did in giving a brief explanation of what calculus is.

    Any help is REALLY appreciated!

  • Ray Fletcher 3 years ago

    If F of X is Y, then can it be said that the F of X is also Z, or the F of Y is X, and so on?

  • Mirror 3 years ago

    Basically, it is a scam

  • Oleg Eliseev 3 years ago

    Hi Nancy, you are awesome.

  • A.N 3 years ago

    Most of you have been bewitched! This is not a woman you’re seeing, but a man! Those of you who have taken anatomy and physiology will be be able to notice the masculine features on this person.

  • Corey S 3 years ago

    The only part I didn’t understand was how you moved that line back and forth between secant and tangent. Are you a wizard?

  • Anshuman Mahapatra 3 years ago

    Big question does she see everything’s mirror image ?

  • Tariq Khan 3 years ago

    If I taught you guys the derivative of a function, you would quickly shut me down, leave no comments and watch some random youtube video instead. Nancy I hate you…J/K😁

  • Don Moore 3 years ago

    Step by step instruction by Nancy. {drools}

  • yksnimus 3 years ago

    that was fucking great

  • Saaed Khan 3 years ago

    Beauty with brains!

  • Saaed Khan 3 years ago

    Your videos are helpful ..

  • Super Maths 3 years ago

    Amazing definition

  • Dan C 3 years ago

    Amazing she’s actually really nice and genuine in her explanations and subtly explains the concepts like you are a dumbass, although she’s so nice about it, that you don’t even know how dumb you were until after she’s explained it. All teachers should teach this way. So many of them either explain things the “smart” way, or they get annoyed when you ask them about a small detail that they, but not you, find irrelevant or obvious.

  • Andrew Salmon 3 years ago

    Nancy, these are great explanations of maths. I am learning something. Thanks.

  • Zn 3 years ago

    It was 5 AM when i watched this. Funny how you grabbed me and makes me stay here for 14′. Well played it’s very interesting !

  • manjeet singh 3 years ago

    I know derivatives but don’t know how to use them in real life 😷

  • Raja kumar 3 years ago

    Love ur teaching skills 🤟nd love you too 😍🙈

  • Sangeeta Devi 3 years ago

    God bless, you are saving my finals

  • Chris Valiente 3 years ago

    The smoothest operator of educating mass scholars in derivative functions for the slope tangent of a curve… “You don’t have to like math; but you can like my video”.

  • Twin Scroll 3 years ago

    She is merely average in Mathematics.

  • George Hristov 3 years ago

    Honestly you are smoking hot….. You remind me Megan Fox…. but much better version you has some brain…… Please don’t waste this look go to a casting for a big movie….. Anyway if you insist to explain math……. one advise before any new video start with the practial part first…… Tell the people what they can use this information for in the real world…..

  • Shakthi gamage 3 years ago

    How she writes horizontally flipped

  • jose lopez 3 years ago

    I fall in love with you and your way to teach. Gracias for all.

  • Sulman Albalawy 3 years ago

    بحثت احاول افهم ويش المشتقة والحقيقه مافهمته الا منها بنت جمييله وشرح رائع i want to understand the derivative and I found it great explanation

  • Michael Bulkley 3 years ago

    Great video

  • Anime MV 3 years ago


  • rameen alikhani 3 years ago

    Finally I learnt something that I couldn’t understand in billion years studying in school in less than 15 minutes!

  • rameen alikhani 3 years ago

    Sorry to say this, but Math is more beautiful than you! Logic wins Skin everyday!

  • Emperor Palpatine 3 years ago

    Im so bad at math back then now im getting so much better 😂

  • nemo 3 years ago

    i think i hate my laziness when it comes to math more than i actually hate math. god bless these vids tho

  • leonardo tiscoski 3 years ago

    Great explanation!!! I’ve learned more with your video than I would an entire semester, thank you for that! Plus, that “interactive” writing board makes everything even easier to get a grasp of all the concepts.

  • abel abel 3 years ago

    From Morocco

  • rr Senanayaka 3 years ago


  • Pronto 3 years ago

    My HS calc teacher was an a-hole. When he went around the class asking where we wanted to go after high school, in response to my stated choice of college, he responded:
    “Oh, I thought they only take the best”.
    Well, I made it to the college of my choice, because I went on a tear after that making sure I was accepted. But I have forgotten all my calc since then because it is only useful in certain limited occupations (which is why I am back here, prepping for a job interview). But it just goes to show:
    1) Calc isn’t everything
    2) If “they only take the best”, I guess QED that includes me – so suck on that Mr. Expert in something rarely useful
    3) Notwithstanding 1 & 2 above, maybe Mr. A-hole is paradoxically partly responsible for my success – so…thanks…I guess.

  • Pentacle 3 years ago

    God I wish I had you as my Math teacher in high school & maybe I would’ve passed the first time. You explain its concepts very clearly.

  • Sidra's Cooking Corner 3 years ago


  • Flabius Mabius 3 years ago

    Not only smart but you’re hot! Wow! I never had that in Grad School!

  • flamephlegm 3 years ago

    I’m tryin to learn Calc for fun, and these videos are extremely helpful.

  • Hamid Shah 3 years ago

    i really got many points that i have never had before thank you

  • Antonio Canuck 3 years ago

    Getting more confused!

  • Mark W 3 years ago

    who came here just to watch her?

  • Little Reptilian 3 years ago

    Sorry I can’t concentrate.

  • Little Reptilian 3 years ago

    Lost it at the end. Didn’t understand what this 6x actually means.

  • Tim Rubin Halcomb 3 years ago

    I love this video. Oh who cares about the math? LOL

  • sem gold 3 years ago

    Where new content?

  • sashanie vazquez 3 years ago

    How did you get the 2xh?

  • chaas seek 3 years ago

    i am here to learn maths and watch your beauty

  • Wino Kitty 3 years ago

    Never saw any profs at my college that could teach calculus that looked this great.

  • Azhar Khan 3 years ago

    Thanks. Because of you I can now begin to grasp such complex Math stuff. Limits, Derivatives, Integral Calculus used to scare the hell out of me. Now I can deal with them; As student of Machine learning, I owe you a lot, Nancy.

  • Dicky G Production 3 years ago

    If you were my teacher i would sit in the front of the class

  • Mark_till Till 3 years ago

    The tangent makes sense but why call approximation the secant?

  • 3dbadboy1 3 years ago

    Looking back, I know what the derivative laws are but I don’t have confidence in those laws unless I know WHY. That’s why understanding this is necessary.

  • محمد حسين جبار سلمان 3 years ago

    please translate to arbic

  • Thuto Masole 3 years ago

    o mogaka

  • Mohammad Orangian 3 years ago

    Thanks for the course so transparent and simply delivered.

  • Anil Kumar Sharma 3 years ago

    so we put the genome and match functions and reputations of repetition of every genome banding with sound formulation of sound and banding of dna molecules so we found that proper genome mixing so we got glucose molecules infinity unlimited ultimately ultimate food on and on continuously

  • blitzblutz 3 years ago

    Nancy is so droll! I love her little jokes.

  • Óscar Macías Gómez 3 years ago

    If I had a teacher like this when I was a young man, I’d now be an aerospace engineer and not a garbage man.

  • Ahmad N Nascar 3 years ago

    Your video’s are wonderful! Have you thought about doing videos related to linear algebra?

  • Jackie Elder 3 years ago

    This helps alot. Thank you so much!

  • John Smith 3 years ago

    it’s truly remarkable that a woman can make a video on any topic and automatically get 100x the views of men. meanwhile, the dominant narrative in western societies is that women are somehow oppressed. hope you enjoy your undeserved success at the expense of innocent men. that’s what feminism is all about.

    • justanotherguy 3 years ago

      Can we just love math without bringing in this other world nonsense! True lovers of the art do not see women or men, we see and appreciate the beauty of those delivering it, and the beauty of the discipline itself.

    • John Smith 3 years ago

      @justanotherguy implying there aren’t men that do a much better job and people don’t only watch her because of her physical beauty. i’d love to live life without bullshit neoliberal propaganda like “international women’s day” (today) crammed down our throat by every major institution. until then, i’m going to call it how i see it.

  • اياد كاظم 3 years ago

    I love you miss nanci

  • amirhossein kohantorabi 3 years ago

    perfect presentation 🙂

  • Sm sujit Babu 3 years ago

    Nice concept

  • Apollo Dalton 3 years ago

    A derivative is a contract between two or more parties whose value is based on an agreed-upon underlying financial asset (like a security) or set of assets (like an index). Common underlying instruments include bonds, commodities, currencies, interest rates, market indexes, and stocks.

  • Chris Walker 3 years ago

    I took calculus years ago. If my teacher had been this good at explaining it, I would have done much better. Now I actually do watch calculus videos just for fun. This was a great reminder of where the derivative rules come from.

  • Alex witwiky 3 years ago

    Im from syria . Thats very very nice

  • Ireth Oronar 3 years ago

    Please teach me mat all day

  • babak babak 3 years ago


  • Pedro Braga 3 years ago

    Sexy voice 🙂

  • Huzeyfe Hakan Sarıcaoğlu 3 years ago

    Şöyle bi hocamız olmadı ki öğrenelim

  • QUANTUM ARMY 3 years ago

    ://TSKO13;⛎..Nothing sexy(er) than a beautiful woman doing math and programing💯°

  • Tej Veer Singh 3 years ago

    Wish I had a maths teacher like Nancy 45 years ago.! I Very nicely explained .It is like listening a poetry. My compliments .

  • Paul Hojda 3 years ago

    You’re so much better than most teachers.

  • jwaynes71 3 years ago

    I came here for her pretty face and her curves

  • KC Diaz 3 years ago

    I got lost … in her eyes.

  • سميح للرياضيات 3 years ago

    Thanks Nancy

  • Sapper 3 years ago

    If I had a teacher like you I’d be stupid.

  • shiwei wong 3 years ago

    美貌与智慧并存 ୧(๑•̀◡•́๑)૭

  • Atul Mohabe 3 years ago

    Please do teach algebra.

  • Rick Lemos 3 years ago

    The teacher wanderfull!!!!!😍😍😍😍

  • tm06ufo 3 years ago

    nice try… still boring…

  • Mohammad Alblawi 3 years ago

    I dont know why I watched the whole video.

  • mlerch2002 3 years ago

    The best part of these excellent videos is the cool sound made when the video is sped up.

  • Named 3 years ago

    I feel like a lot of people do not watch this channel for Math….

  • Khoa Phạm 3 years ago

    you look yummy

  • Logical One 3 years ago

    nothing is better than Math

  • AlphaTV 3 years ago

    What a superb explanation…. Thanks

  • Chris Zablocki 3 years ago

    Do derivatives help explain why apes ponder their own existence or creator, or do they solve numerical equations?

  • أحمد رحمـٰـن علي 3 years ago

    Now I realize why I love the math 🙂❤️

  • douglas david misas camacho 3 years ago


  • Jerry PEAL 3 years ago

    I don’t need to learn any math

  • Mark Workman 3 years ago

    my trousers don’t fit so good right now…………

  • Pablo Castaño 3 years ago

    If h tends to 0, isn’t exactly 0, how come that you substitute 0 in the last step of the algebra? By doing that aren’t you making the distance between x and x+h equal zero? How do you calculate the slope of a curve by only knowing one point? I’m not sure I have properly explained myself.

  • 321shack 3 years ago

    I am going to say this you have don’t need to be so pretty to teach math hehehehheeh…..

  • Rod 3 years ago

    Wow!! I am not a math expert, but I know You + Me = Division by Zero Error. Wait… must have done something wrong. Let me try that again… You++ ME++ == FALSE. Damn! There must be an equation that is equal to HER+ME = TRUE. I should have studied my math and computer science! Damn! Again, HER/ME*US = Cannot Compute Invalid Entries. BSOD! Dammit! 😖

  • Hawkeye } 3 years ago

    I love derivatives so much 😍😜

  • Silnik prądu stałego 3 years ago

    Maj stulej

  • J. P. 3 years ago

    I always wondered what a derivative looked like….

  • F L 3 years ago


  • Abdalla Salah 3 years ago


  • Alvaro Trewhela 3 years ago

    Profesor + effects = do not pay attention

  • (JD) Juan Gonzalez Flores 3 years ago

    yeah she is beautiful i am talking about the derivative. Great work!!! let me now check the integral one.

  • AlbionViti 3 years ago

    Very helpful, thanks.

  • cmlacosta 3 years ago

    Do you accept private tutor?

  • Miloš Pušica 3 years ago

    I perfectly know what the derivative is…Idk why am I watching this for the whole 15 mins

  • Jivan Mainali 3 years ago

    How to make those styled videos

  • levii amv 3 years ago

    whait a minute? is that ASMR? caus i can t resit :c i want to sleep so badely in her arms

  • Aleem Akhtar 3 years ago

    I am a biology students but I don’t know why am I here

  • Brecht 3 years ago

    Nancy… this is like ASMR I get easily distracted o.o

  • Nayem Hasan 3 years ago

    I would never leave high school if i had her as teacher…

  • Hinks Ben 3 years ago


  • Mike Young 3 years ago

    Nice. I dropped out of calculus in college and never went back but I’ve always loved numbers.

  • king 3 years ago

    You arr beautiful distracting me to concentrate 😉

  • baby smile 3 years ago

    Just dropping by to have my watching-a-beautiful-girl-writing-backwards fix. Bye!

  • Uber 3 years ago

    Damn she is beautiful.

  • Martyn Page 3 years ago

    Maths is beautiful

  • Orkun Alpar 3 years ago

    I hold a bachelor’s degree in engineering, but there is no harm in brushing up your calculus

  • rising redstone 3 years ago

    What is she writing on? Glass? because if so, she has to then write the mirror image. What is going on here?

  • Anthony Wall 3 years ago

    Great video

  • Sotos Kount 3 years ago

    Sexiest math teacher of all time. Great work, keep going.

  • Lenin Misle 3 years ago

    Que hermosa e inteligente es. Admirable. Como me enamora una mujer así.

  • Top 10 Most Amazing Things 3 years ago

    i think she is writing everything backwards for us to see

  • Tham dfg 3 years ago

    Do you have Spanish ancestors?

  • lakhwinder 3 years ago

    You are quite possibly the cutest girl I’ve seen doing math

  • Ramalingeswara Rao Bhavaraju 3 years ago

    Thank you madam.

  • Kiko 3 years ago

    I would compute your second derivative the whole night just to see your curvature.

  • Giuseppe Fiamingo 3 years ago

    Bravissima. Ps. che programma utilizzi per scrivere a video

  • Хакимов Осман 3 years ago

    Ничего не понял,но было интересно

  • Ali Khan 3 years ago

    Wao you are beautiful you wanna be my math teacher for ever😩

  • Reverse Engineering by Dr S Zahid Nabi Dar 3 years ago

    You are beauty with brains.

  • Ananth Narayanan 3 years ago

    is anyone here to actually learn?

  • Vishal Tyagi 3 years ago

    I am from india good explanations

  • Julius Aboagye 3 years ago

    Nancy’s Video was really helped me in Uni. thanks @NancyPi

  • Youssef Lakrari 3 years ago

    Can I get your whatsapp number ? I need your help to learn math

  • Ruthless Goat 3 years ago

    Even if Donald Trump had a lim —> ∞ number of brain cells, He would still not believe this, and would rely on his hunches.

  • Ruthless Goat 3 years ago

    Function: For every value of x, there is one and ONLY one value of y. It is just that simple.

  • mastgmc 3 years ago

    So cute

  • A Z 3 years ago

    Hi. What’s the practical real world implementation of this? Thanks.

  • 1 conscience 0 dimension 3 years ago

    I’m here for an integral facial

  • 1 conscience 0 dimension 3 years ago

    quand elle écrit slope c’est bizarre on dirait une faute de frappe

  • NIIK 3 years ago

    How did you move that linear line?! What magic marker are you using?

  • Shahnaj Sultana 3 years ago


  • Gary Ha 3 years ago

    have to envy those who just get it

  • Zain Sadique 3 years ago

    Half of the population here is for learning derivatives, while half of the population is for…… you know for what we are here.😂😂😂😉

  • Aaditya Kumar 3 years ago

    Ma’am aap kaha se ho

  • ناصر جبار خضير 3 years ago

    you helped me a lot thank you so much Nancy

  • seer 3 years ago

    Loved the explanation and recalled the faster way I learned 50 years ago.

  • Lord Nicholas Buzan the Fearless 3 years ago

    I bet she has a BBC boyfriend named Tyrone

  • Stefano Variani 3 years ago

    Thanks, you were incredibly clear!

  • Joseph Antony 3 years ago

    Im am sure plenty of men who are not in the least interested in calculus or maths are watching this 😂😂😂😂

  • Kordless World 3 years ago

    My season 4 is coming up in about 6 months. (I’m a very good sound engineer. I know maths also.)

  • Alisson Reinaldo Silva 3 years ago

    This helped a lot. Just finished the Machine Learning course by Andrew Ng (Stanford) on Coursera, and although it’s not strict required to learn derivatives, this helped getting a better understanding of how ML algorithms work behind the scenes (rather than just using them). Guess I’m gonna do a “Nancyflix” marathon.

  • mohamed ashraf 3 years ago

    when am I gonna find a math teacher who delivers the real meaning of math that is related to our daily life routine ?! .I am not speaking about the numbers and all this stuff …but I am speaking about how do we teach our kids the intrinsic meaning of math…as an example for this episode, the teacher should have discussed the meaning behind calculating the derivative ….”why do we calculate it” …rather than just focusing on theoretical basis that everyone hate if he/she finds it difficult. please try to relate your examples to real life scenarios.

  • Joel Alberto Pereira da Silva 3 years ago

    Not meaning to be disrespectful, better than an intelligent teacher is a beautiful and intelligent teacher.

  • محمود يوسف صباح 3 years ago

    Boy how much I love calculus🤪

  • James Haydel 3 years ago

    If my calculus teacher looked like her I’d be a civil engineer instead of a CPA.

    • RinYeet 3 years ago


  • Erik Bravo 3 years ago

    Best Teacher Ever <3

    • Erik Bravo 3 years ago

      like like like like

  • Amon Ra 3 years ago

    красивая девка. забила себе голову каким то дерьмом) давай выходи за меня за муж – я мульти миллионер)

  • pan lym 3 years ago

    i have no idea what she s talking about!!but i watched all the lesson because …….

  • Debayan Barman 3 years ago

    I can’t see to the board because of you

  • wasim afridi 3 years ago

    Wow superb but mam i asked that some books use Delta x instead of h but i like h because it makes simple

  • wasim afridi 3 years ago

    If you explain the idea of integration then alot of thanls

  • ray allen 3 years ago

    I didn’t know anything about this thing but boi she’s fine

  • ray allen 3 years ago

    YouTube recommended me this, she’s not bad at all

  • INVERTEBRATE Argus 3 years ago

    I use to hate math but now I love math because of Nancy.

  • Ekramy Elkhodary 3 years ago

    Hello Nancy , i need your help please give me feed back about your studio i need to use same ur techniques with my explanation videos
    00201019836341 whatsapp
    Thx alot

  • The Tensor Bro 3 years ago

    NancyPi, ruin my life

  • Porki Buster 3 years ago

    I would’ve been the high school topper if she was my maths teacher….. would’ve never missed a class…

    • Chien Yang 3 years ago

      However, would you be able to concentrate?

    • Porki Buster 3 years ago

      @Chien Yangthat’s a tough challenge lol.

  • Joseph 3 years ago

    Im just here for the articles.

  • Ann Onymous 3 years ago

    13:45 superfluous. The English word you are seeking is superfluous.
    This is what happens when a polyglot reviews math.

  • L Kru 3 years ago

    Talk to me math 🙂

  • SriniP 3 years ago

    That’s great! At 65, I had completely forgotten the first principles derivation, and thank you for reminding me!

  • Muhammad Amjad 3 years ago

    Very good

  • balazsimon 3 years ago

    I’m actually in love

  • Rob 3 years ago

    I literally just watch her to appreciate what is going on. You don’t find many of these in the wild bois

  • Vykke 3 years ago

    She IS teaching intellectual truth

  • Matemática con Lebrón 3 years ago

    Good video

  • hindol datta 3 years ago

    Excellent explanation. How does a secant line become a tangent line. Not quite sure I understood the implication of how that helps us understand derivative.

  • jallad abood 3 years ago

    sweet nancy,,,,

  • Maria Makinen 3 years ago

    Hopeless….#2. I had a private tutor to get me through my a -level maths

  • Osama Azzan 3 years ago

    I love math because u

  • Yamin 3 years ago

  • Ranjith Aero Tech 3 years ago

    Hi nancy ‘will you marry me?
    So that I can clear my doubts in maths for all time…
    Reply me an answer….

  • KOMROOK 3 years ago


  • thegobe 3 years ago

    gorgeous 🙂

  • Sarvesh Kanaujia 3 years ago

    This is 1000th comment here….
    Very nicely explained… Great going Nancy….

  • Sabet Akash 3 years ago

    Very helpful mam 👍😊

  • Mohammad Ali Johnny 3 years ago

    peace be upon you. you explained realy well.

  • ayoub 3 years ago


  • Patrik Cedermar 3 years ago

    Impressed that you can write so fast

  • Hashmi Academy 3 years ago

    She’s great. clears everything up for me. 🙂

  • Mohammad Junaid 3 years ago

    I Love You Ma’am.♥️♥️♥️♥️♥️ Will you marry me???♥️♥️♥️♥️😍😍😍😍😛😛😛😛😛😄😄😄🥰🥰🥰🥰🥰❤️❤️❤️❤️

  • Esau Chinks 3 years ago

    please consider doing boolean algebra, this is some good stuff

  • AC MCK 3 years ago

    Beauty and brains…can’t go wrong…

  • patrick bateman 3 years ago

    You’re too hot to be doing Maths

  • Rigo Rodas 3 years ago

    My brain’s chain reaction at 7:47: 🧐😶😳🤯

  • Saumya Elixir 3 years ago

    You broke the sterotype of cute girls bad at maths

  • Saumya Elixir 3 years ago

    Love from india 🇮🇳
    I m in quaratine ,I hvnt cmplted my derivative ch ,and you let me know why it was f(x+h)-f(x)/h,,most of the channels are teaching how to use it but not how it works and why.

  • ORTHOFLIX # 3 years ago

    Likes for the amazing maths lec in the building, under stood better

  • Thomas Erian 3 years ago

    Thank you very much for making math so simple and clear You are an amazing teacher

  • Myviolist 3 years ago


  • Kar3n 3 years ago

    9:56 😒is it wierd that i totaly get what shes saying. I was thinking about this in the begining of the video.

  • Marcelino Garza 3 years ago

    Your so hot i wish you was my teacher be my favorite

  • David Issak-Zade 3 years ago

    Thank you very much for your job. Your videos are full of usefulness and smartness, can you share with us how did you get accepted to the MIT& And can you give me a direction of what do I have to do to get accepted to the MIT?

  • Mir AbuBakar 3 years ago

    Excellent and amazing dear Nancy you are kind and sympathetic because your method of teaching show your passion to serve others. Tell me what is this we use this formula for derivative it is also derivative formula tell me.
    Derivative=y2-y1/x2-x1=del y/del x diff between this and your formula of dervative in your video

  • Lam Tim 3 years ago

    smart girl

  • m husen 3 years ago

    Nancy, you are an excellent teacher. I learnt many concepts from you. Thanks. God bless you

  • Andrew Wilkens 3 years ago

    You explained this way better than any of my math profs did. Its been 15 years since I took calculus and I knew the rules to get the first and second derivative, but I didn’t know the underlying theory. Thanks.

  • Zander 3 years ago

    So a derivative works because we’re ignoring the fact that you can’t divide by zero?

  • Indranil Roy 3 years ago

    Did not get that limit rule, “how do we substitute x+h alt rest of it was a masterstroke very lucidly explained thmx

  • Iendracht Oilsjt Retro 3 years ago

    Had to watch it twice,,, forgot to look at the math the first time

  • Nicholas Champagne 3 years ago

    But I did like Math, and your way of teaching it makes it fun, thanks your awesome

  • Rao Arif 3 years ago

    weldon msm

  • Rahul ayan 3 years ago

    Hey, Instructor Ma’am I have a kind suggestion for you , Change your channels name from Nancypi ——-> Cutiepi . Kinda cute as you 😍and funny

  • 9th class maths 3 years ago


  • Rodrigo Gomes 3 years ago


  • Rao Arif 3 years ago

    nice mam of your method

  • DEM0N_ KING 3 years ago

    The image is mirrored

  • DEM0N_ KING 3 years ago

    Thank you miss for clearing

  • Daniel Jackson 3 years ago

    NancyPi, Are you REALLY writing (and graphing) BACKWARDS?????

  • Ye Yu 3 years ago

    was rechnen Aufgaben%4292 *75* 1141411 ?÷? 660225 !44144! &&&×&&& #1# @5$5@ ==***== ?????€????? 1111

  • Free Study Channel 3 years ago

    Nice explanation

  • Dr. Wasiq Mathematics Undergraduate Lectures 3 years ago

    Very Nice. Keep up the good work. I 100% disagree that Mathematics is a dry subject. Mathematics is beautiful.

  • joed596 3 years ago

    I got more out of this 15 minute video than 3 hours of studying class notes! Thumbs up & glad I subscribed 🙂👍

  • Heróis do mundo 3 years ago

    omg I’m in love

  • Ethen joe's 3 years ago

    Awesome explanation and detailed content which is easy to digest

  • Spanish At Mexico 3 years ago

    What are the uses of a derivative in the real world? Thank you.

  • Revaz Zhvania 3 years ago

    Very few people explain concepts in an understandable way. I mean, when you ACTUALLY UNDERSTAND what it is and why it is there. It’s easy to just DO IT because you saw 100 other examples but, what it really is, is what matter the most. This was amazing.

  • Venu Babu 3 years ago

    Simply i fell love with your teaching nancy mam.super …..

  • Toprak Soil 3 years ago

    good lesson expontial equall how can calculateed

  • Jairo Prado 3 years ago

    Agora aprendo matemática.

  • Diego Paz 3 years ago

    Uy bb como es pa unas clases privadas

  • Marylou Channel 3 years ago

    so talented si host good job

  • Nicole Rodrigues 3 years ago

    you’re literally saving my life. SO clear. My textbook SUCKS and is SO confusing. Thanks for helping me get through my homework. You explain things clearly and are not boring. Appreciate it.

  • Ryan Brazeal 3 years ago

    You look so beautiful in red 😍

  • MN MATH Classes 3 years ago

    Very nice main M. N. Shukla (maths lect) from India

  • Ayaz Khan 3 years ago

    Hi Nancy hope you are fine. Can I contact you by email ? My mail ID

  • Mathematical Equations 3 years ago

    Who says Mathematics is not everybody’s job

  • Z B 3 years ago

    Unintentional ASMR

  • logan xmen 3 years ago

    SPANISH……..?……( ◜‿◝ )♡

  • Kerry Sammy 3 years ago

    If I had a math teacher like that, I would study hard!

  • Cassie D 3 years ago

    Studying for my final! Great refresher, I used this same video when I was learning this concept earlier in the semester.
    Its fun seeing the concept again after learning so much!

  • TEAM TO WIN 3 years ago

    You are more then good I like your mentored please how would be able to contact u

  • Mrman Yousef 3 years ago


  • jose carlos machado 3 years ago

    Nice job by a nice girl

  • ijejln fzzdfar 3 years ago

    Nancy would be perfect for ASMR videos on mathematics. I think it will remove fears of mathematic on many students

  • Sas Bekverdi 3 years ago

    I love your videos. You’re able to explain things so effectively. I swear, my professor wasn’t able to convey as much info to me throughout an entire semester of precalculus and he earned three math degrees in grad school.

  • Sas Bekverdi 3 years ago

    And I don’t get why everyone keeps talking about her physical appearance as if it’s all that matters to them. If you’re not on here to learn math, what are you really doing? She didn’t post these videos so a bunch of desperate guys could come and drool and breathe on her neck. You people are just awkward perhaps? You like to make people feel awkward for no apparent reason? What is seriously wrong with you people. In all seriousness, get a damn life.

  • Enteng Kian 3 years ago

    Kepa kok dihitung 90 tdk 100 belum ada pembenan kok

  • Enteng Kian 3 years ago

    1 lingkaran 100% you now

  • Named 3 years ago

    Learning Math is so much better this way…


    I don’t like my x don’t ask y

  • jose toro 3 years ago

    I saw the entire video. Wonderful. Anybody else noticed she was speaking about maths or something.

  • rohit nautiyal 3 years ago

    I like how you explain everything with a calm and soft voice.

  • قصص منوعة 3 years ago

    you have good way for send formation 👍

  • John Gutin 3 years ago

    If this woman had been my math teacher i think my life would have gone a lot differently

  • Joey Keffer 3 years ago

    i love you

  • Dan Nichols 3 years ago

    Ok Nancy, I got stuck some at 10:59 . I can see *what* you did, I’m just not sure *why* . The way I explained it to myself is: f(x+h) (in the derivative formula) means the y value obtained from f(x) for a value (x+h), so to get that y value you have to plug (x + h) *into* the f(x) for each x present there, because that’s what f(x) would be *at* (x + h). That would be the *why* for the *what* you did.Your general explanations are so wonderful, and you seem to have all of them that are necessary, maybe that particular place needed a little more (at least for me)?

    • Dan Nichols 3 years ago

      Ok, so I see that using limits is how you get that formula for derivatives of powers, but it still seems arcane that you put into an equation a term (h), which you *know* you’re going to take out later by making it zero (or ‘going to zero’), and still get something useful!

  • Tushon and Curtis Jordaan 2 years ago

    Thank you this really helped me

  • ⸻⸻ ⸻⸻ 2 years ago


  • Pahanin 2 years ago

    Med school is easier than this

  • Pradip Pradhan 2 years ago

    nyc # Pradip pradhan @12th Math

  • Robert Bruce 2 years ago

    I have watched this before. You explain it very well.

  • Khai lee 2 years ago

    I am now an engineer, but idont know why i watching this. Maybe I forgot what derivative is, or I am just single

  • Ahmad Farid 2 years ago

    Love you Nancy, you are amazing

  • Gnomed Mother-Fucker 2 years ago


  • John Chang 2 years ago

    Your family name is Pi? My wife’s surname is Pi too! But we are Singaporean Chinese. When she attended uni, the lecturer always jokingly addressed her as Ms 3.1416

  • mrnegi551 2 years ago

    Thanks for such a nice and easy ways to make hard things to simple 🙏🌼🌻

  • Adriano de Morais 2 years ago

    Só pretty! Love U! 😍

  • Bobby Poly 2 years ago

    why do we need derivatives if we could just draw a tangent line and figure out the slope from there? Awesome video btw.!!! Thank you!

  • neel bhattacharya 2 years ago

    how do you make these videos? are you a wizard?

  • Israel Torres 2 years ago

    Are you single?

  • Jeffrey Hamer 2 years ago

    I especially like the new technical term I just learned to decsribe a rough estimate, “wonky.” Nancy makes technical stuff friendly.
    Well Done!

  • Roy Amarasekera 2 years ago

    thank you so much Nancy.LOVE YOU!!!!

  • thanuja suraweera 2 years ago

    Thank you so much for your tutorials, it really helps me when I was taking calculus 114. I scored over 80’s for my mid term exam and your lessons are very easier to understand the way you show different methods to explain things. I really appreciate your time and efforts

  • RitualTree5 2 years ago

    I give up I don’t understand this

  • Venkatesan Munusamy 2 years ago

    Thank you, NANCY

  • CoffeeorTea 2 years ago

    Extremely well explained. For the first time in my life, I am clear on the idea.

  • Alka Pandey 2 years ago

    Great work …

  • StableEntropy 2 years ago

    Oh my gosh 😭 after hours of trying to learn this 😭 you made it so much easier somehow! Your formula is so much easier then the others my professors gave me!

  • Willie A 2 years ago

    The way you moved that secant line to a tangent line and back with hand magic was so cool!!!

  • Subhash Biswas 2 years ago

    Appriciate of the easiest way derivative explained

  • michael anderson 2 years ago

    Eylene Pirez is way better looking :O)

  • Notorious N.I.K. 2 years ago

    11:50 for all the year 11 chisholm kids

  • malem abas 2 years ago

    You are the best thanks alot

  • Neetu Kumar 2 years ago

    Suberb mam I am great fan of your

  • kunal jaat 2 years ago

    You are so beautifull

  • kartikeya rajput 2 years ago

    I can’t focus on what she’s explaining 😍

  • Kelle Velle 2 years ago

    By just watching her videos I’m so obsessed to her and learning a lot because she reminds me of my teacher in algebra her pretty face the cheek bone the shape of the body and the soft spoken voice that always made my day she’s an engineer whoever the bf of this young woman he’s so lucky to have her😍

  • Arturo Martinez 2 years ago

    I do not know I just come to see the teacher..

  • randhr kumar 2 years ago

    Look forward write backward oh dear Nancy what are you doing…..

  • Sozib Amhed 2 years ago

    Thank you madam…

  • louie s 2 years ago

    Shows entire sequence of steps for calculating a derivative.Me:Writes a few lines of code in Python 🙂

  • Ellie Fields 2 years ago

    thank you! you’re a great teacher and you’re very pretty!

  • Edward Bulungol 2 years ago

    I know it’s like a century later but if anyone sees this: Why is the limit 0? Minute 7:44

  • Kicheol Lee 2 years ago

    Is that for high school students? High school math?

  • PRIYANK CHAVDA 2 years ago

    Thanks mam for giving us all an MIT level mathematics education.

  • Challenge:-10 Subscriber in 10 days without video 2 years ago

    Challenge accepted

  • Anjaneya Sharma 2 years ago

    Focus on this question
    Find derivative of sin4x sinn6x
    The answer for this question is enough to show trigonometry derivatives method is nonsense.
    Wondering when they will stop teaching this method.
    I doubt if the girl in the video has a proper answer.
    Somebody fooled her and is fooling 100 unknowingly unintentionally.
    She is repeating like a parrot.
    Ask her to draw a diagram and see for herself.

  • Christian Sánchez 2 years ago

    That is the Frechnet derivative. The derivate that we ude in analysis.

  • Higenberg 2 years ago

    you better be a model😍

  • BABA 2 years ago

    Who else came here thinking GAL GADOT( Wonder woman) changed her profession🤣

  • SinistaN 2 years ago

    just remember use the power rule

  • Angelica Mae Bebonia 2 years ago

    You made it easier for me to understand 💖 Thank you for this video 💖

Comments are closed.