How to Find the Equation of a Tangent Line with Derivatives (NancyPi)

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Published on May 15, 2018 by

MIT grad shows how to find the tangent line equation using a derivative (Calculus). To skip ahead: 1) For a BASIC example, skip to time 0:44. 2) For an example that uses the QUOTIENT RULE, skip to time 5:58. 3) For an example that uses TRIG FUNCTIONS and the CHAIN RULE for finding the equation of a tangent line, skip to time 11:35. Nancy formerly of MathBFF explains the steps.

For HOW TO FIND DERIVATIVES, jump to: https://youtu.be/QqF3i1pnyzU

Follow me on Instagram! https://instagram.com/nancypi
Follow me on Twitter: https://twitter.com/nancypi

What is a tangent line? It is a line that is tangent to a curve at one point. You can use calculus for finding the tangent line equation, by taking the derivative of the given function.

Finding the EQUATION OF A TANGENT LINE using a DERIVATIVE:
There are four main steps to find the equation of a tangent line with derivatives:

1) TAKE DERIVATIVE: The first step is to take the derivative of the given equation, with respect to x. For instance, to find the equation of the line tangent to f(x) = x^2 + 3 at x = 4, first take the derivative of f(x), which is 2x, by the power rule.

2) PLUG IN X-VALUE INTO DERIVATIVE TO GET SLOPE: The second step is to plug the given x-value into the derivative of f(x). The value you get is the slope of the tangent line, m.

3) FIND Y-VALUE OF POINT WITH ORIGINAL EQUATION: The third step is to find the y-value of the point. You get this by plugging the given x-value into the original equation to find the corresponding y-value. Since you want the tangent line at x = 4, plug x = 4 into the original f(x), and you get a y-value of 7. Now that you have both the x and y coordinates, this means that the full point is (4,7).

4) PLUG THE SLOPE AND X,Y POINT VALUES INTO POINT-SLOPE EQUATION: The last step is to put the x and y point values, as well as the slope, m, into the point slope equation of a line. The point slope form is x - x1 = m (y - y1). Plug the x and y point values into this equation for x1 and y1. Plug the slope you found in for m. This is the equation of the tangent line. The equation will still have x and y variables in it.

You can also rearrange the equation you get so that it is in "y equals" or slope intercept form, if you want.

You may need to find the derivative with other derivative rules, such as the quotient rule or chain rule. Even if you need to use other rules when taking derivatives, or even if you need to differentiate something like a trigonometry function (ex. secant) or a fraction form with a numerator and denominator (rational function), the four main steps to find the equation of the tangent line will be the same.

For more math help, check out: http://nancypi.com

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314 Comments

  • Ayaan Shaikh 4 years ago

    Welcome back!

  • ALL CAPS 4 years ago

    Love you! Keep up the good work! ๐Ÿ™‚

    • Melo Sekmn 4 years ago

      1

  • Anisha Islam 4 years ago

    hey nancy, can you make a video on solving optimization problems using calculus?

    • Somdeep Bose 4 years ago

      Yes, videos on complicated and harder calculus problems?

    • Amanda whitlatch 4 years ago

      Yes! optimization or related rates..

  • rav ernot 4 years ago

    whew, I still remember calculus

  • Ronald Jensen 4 years ago

    For me it is simpler to consider that there are an infinite number of lines with a given slope (say, 5). That is, lines that satisfy:
    y = 5x + b
    But only one contains a given point [say (1,3)]:
    3 = 5*1 + b
    Solving for b give -2, so we know the equation of the tangent line is
    y = 5x – 2
    I think this method gets students ready for initial value problems and avoids the symbol overload of the 5 variables in the point-slope equation.

    • miehai 4 years ago

      you’re a god

  • Abood Kokash 4 years ago

    Could u do one with horizontal line

  • Ronnel Arjay Jandusay 4 years ago

    how did you get cos(pi/3) is equals to 1/2 and tan(pi/3) is equals to square root of 3?

  • //clear_code 4 years ago

    Thanks, very helpful video

  • Yaseen Ali 4 years ago

    helpful as fuck

  • Bus 4 years ago

    2:47 i can’t understand why the slope m is a result from the x-coordinate only?

  • Daud Ahmad 4 years ago

    I am the 101 like ๐Ÿ˜‰ appreciable. very nice explanation

  • Zarak Zeeshan 4 years ago

    Nice

  • Brad Smith 4 years ago

    2:52 “The third step is…oh never mind. Fuck you guys.”

  • JEEVAN KUMAR 4 years ago

    thank u so much madam…

  • francis Ndong'a 4 years ago

    hey Nancy thanks a lot now I can easily solve tangent

  • Prabodh Bharose 4 years ago

    how do you write on that i’m perplexed

    • Hugo Anzola 3 years ago

      @YoIts LemonBoy! Therefore, she is not left handed so she may have a wedding ring on. Bummers.

    • YoIts LemonBoy! 3 years ago

      @Hugo Anzola why are people like you so creepy. dude go outside and meet someone or soemthing. stop tryna marry a tutor online.

    • Diego Villarroel 3 years ago

      Hugo Anzola Iโ€™m pretty sure sheโ€™s left handed

    • ฮŸ ฮ‘ฯฯ‡ฮทฮณฯŒฯ‚ 3 years ago

      @Hugo Anzola Creep.

    • Colin Java 2 years ago

      @Diego Villarroel she’s right handed.
      Or she’s left handed and has mastered writing backwards.
      What is most likely?
      Bear in mind about 90% of people are right handed also

  • Somdeep Bose 4 years ago

    Do you know any Physics teacher as good as you? ๐Ÿ˜Š

    • LA Dumanayos 3 years ago

      michel van biezen

  • Animesh Agnihotri 4 years ago

    hey Nancy hope u doing well, actually I jst wanna knw why u love pi so much

  • nemo one 4 years ago

    Great teacher: very consequencial,slowly speaking and clear. Thank you!

    • Saber Tig 3 years ago

      …and pretty, to keep eyes focused on the front of the class…

    • Matthew Cox 3 years ago

      Completely different from mine

  • Preston Freeman 4 years ago

    How would you find x^3+3x-2? You did not cover what to do if there was a constant in it?

    • Legna 4 years ago

      when using the power rule, you do power times the number and -1 from the power. The constant -2 just turns to 0.

  • Dasha Guzman 4 years ago

    Nancy, your videos are so helpful! They have really helped me through Calc1. But there’s something I must know…
    How do you write backwards? It blows my mind every time

    • AnonymousAsh 3 years ago

      She flips the video lol

  • John Mitchell 4 years ago

    OMG Thank you so freakin much!!! This rely helped me.

  • Paloma Colunga 4 years ago

    youre honestly the best. thank you so much

  • Jack White 4 years ago

    I don’t know what you’re talking about but I could watch for hours. My math capability is: Duhhh!!!

  • Bryant P 4 years ago

    Thank u, I love u

  • Sid 4 years ago

    Thank you so much for this, it helped me a lot with my homework and hopefully, you have more videos as I get more into calculus.

  • john Mitchell 4 years ago

    I just wanted to say thank you Nancy. I am not sure why my professor made this so unnecessarily hard. You are the Math Goddess.

  • Ryan BurnsRed 4 years ago

    Thank you so much! It’s amazing how simple it all is but I was dying over here trying to figure this out

  • Shaan Tiwari 4 years ago

    Thank you very much !!!! Ma’am

  • Jacqueline Almazan 4 years ago

    Forever I wish you were my calculus teacher!

  • Jacqueline Almazan 4 years ago

    Can you please do a video of finding the slope of a curve without using derivatives. Using limits plz ;-;

    • Legna 4 years ago

      use either the alternate form or the definition of a derivative to find the derivative and go from there. The one with h in it

  • Pablo 4 years ago

    are you really writing backwards

    • Safowan A. Tamim 4 years ago

      lol the video is just flipped ..

  • manuel felix 4 years ago

    A tangent to straight line is the same straight line !

  • DaSnipa 4 years ago

    please be my calc tutor your a beauty

  • Dududu C 4 years ago

    so hot

  • The Doyle 4 years ago

    On the third example f(x)=(secx)^2 , shouldn’t f'(x)=2(secx)(secxtanx)^2 ??

  • Xct079 PkTr37 4 years ago

    Can you do some linear algebra videos too? Please Mrs.Teacher ๐Ÿ™‚

    • Mankiran Kamaal 3 years ago

      Her name is Nancy

  • Xct079 PkTr37 4 years ago

    Or you could write x/(x-1) as x.(x-1)^-1, if you forget the division formula a lot like me ๐Ÿ™‚ Then use product and chain rule in order to solve. It is a different function but it works.

  • Jaylene M 4 years ago

    Am I completely stupid or just exhausted from a very long day but…how the hell is she not writing backwards on the board?

  • Manubhav Tamta 4 years ago

    You are really beautiful and video is very helpful though.. thanks

  • Nathanael O. 4 years ago

    hey this was so useful!!! Can you do one with tangent lines in regards to implicit differentiation?

  • Hossam Latif 4 years ago

    Thanks for the effort saved my life!!!

  • Fofo Alsada 4 years ago

    myyy good i loove you sooo muchhhhh

  • Mohammed Gasim 4 years ago

    Thank you so much for this information

  • Zac yakasha 4 years ago

    most beautiful math teacher in my life.

  • Jana Nsour 4 years ago

    Thank you! This really helped with my hw!

  • Inhaled Wand 4 years ago

    Thank you very much for the concept. The video was in detail and easy to understand.

  • Rishi Patel 4 years ago

    i got lost at the second question

    • Tom O'Toole 4 years ago

      watch a vid on quotient rule

  • Dragon's Flame AMV 4 years ago

    is this the same as the equation of a tangent?

  • PunkyP 4 years ago

    I think u could be a little more active n interactive… But ur gr8..

  • Michelle Raval 4 years ago

    Soooo pretty ๐Ÿ˜ thanks for the vid !

  • Tatu Taylor 4 years ago

    Thank you!!!!

  • Mohanad Osama 4 years ago

    we have a singer who called nancy she has a nice voice shes pretty good singer

  • Nap 4 years ago

    We learned how to do this before knowing what derivatives are, and holy shit it would take like 5-10 mins. This method takes like 1 min thank u so much

  • restin34 4 years ago

    Hold on I have a question. Was I supposed to look at the equations ? If yes, then I’m glad I didn’t waste 19 minutes by ignoring the equations and focusing somewhere else throughout the video. If u know what I mean.

    • restin34 4 years ago

      hb hb I meant her face, whoโ€™s disrespectful now ?

  • JM Abrams 4 years ago

    You are a concise, effective and clear communicator. Thank you!

  • Gabriel 4 years ago

    I wish I was being taught by a tutor like you for basic class unto…
    If you agreed click like

  • Horizon Brave 4 years ago

    I swear…if Nancy went out with the youtuber Professor Leonard, (look him up he’s equally awesome) they would have the sexiest babies on the planet…seriously…

    • Alysa A 3 years ago

      And smartest

  • IAM ABDULA 4 years ago

    Thank you sooooo much you are 1000 times better than my teacher

  • Yasin Abdilahi Mohamed 4 years ago

    thnks teacher

  • Hameed Zia 4 years ago

    Madam you are great explain everyone step easily

  • Being Homie 4 years ago

    Beautiful explaination

  • Forest Davis 4 years ago

    By constructing a tangent line, we can calculate the slope of a curved line at a given point ? Explain this to me please? Oh and you can have all my pasta. You have an amazing sense of humor in the Q & A.

  • James Cooper 4 years ago

    Score! @NancyPi you make this super easy to understand. Much obliged.

  • Abdullah S 4 years ago

    School seems pretty useless when videos such as this one explain it so much better.

  • alex russo 4 years ago

    I love you so much

  • malcolm wiseman 4 years ago

    Nothing sexier to me than a woman who knows math! Watching you has renewed my love of math. Thanks for the videos!

  • 99Gara99 4 years ago

    Imagine a world where all advanced math teachers are hot

  • Ezio Auditore 4 years ago

    Playing the video in 2x speed, still kinda slow

  • maths stc 4 years ago

    Excellent! Excellent! Just purely excellent!๐Ÿ‘๐Ÿ˜Š๐Ÿ˜ƒ๐Ÿ˜ƒ๐Ÿ™๐Ÿ™๐Ÿ™๐Ÿ™๐Ÿ™๐Ÿ™๐Ÿ™๐Ÿ‘๐Ÿ‘๐Ÿ‘ may JESUS continue to bless you with the gift of explanation

  • Anastasia D 4 years ago

    Thank you so much๐Ÿ™๐Ÿป I was so confused

  • chuwbi akawanu 4 years ago

    channel is very helpful! thanks a lot!

  • Basit Imtiaz 4 years ago

    Thanks a lot

  • GFC1337 3 years ago

    very helpful but for some reason I found it hard to concentrate

  • Alycia Stump 3 years ago

    can you do a video on logarithmic differentiation? BTW YOU’RE AMAZING! I was so confused until your videos and now it’s simple and makes complete sense.

  • Najaf Nisar 3 years ago

    thanks a lot
    Mam…!

  • jason ramos 3 years ago

    why am i watching this video? i dropped out.

  • cripwalklover83 3 years ago

    If you are being held hostage, blink twice

    • Mohammed Wasey Siddiqui 3 years ago

      Oh common she is obviously under hostage situation. But I never seen such a cyber crime where the user is forced to run a channel in order to send secret codes or maybe something for more vivid reason.

    • Nishchay Bhutani 3 years ago

      @Mohammed Wasey Siddiqui *MARINA JOYCE*

    • Sam Pitts 3 years ago

      Would you go on TV and say Hello I am Nancy Pi?

    • Angel Lopez 3 years ago

      Mohammed Wasey Siddiqui Just think of all that YouTube revenue…

    • moses danielshihepo 2 years ago

      Nice one Ma’am ๐Ÿ‘Œ๐Ÿ‘Œ๐Ÿ‘Œ

  • santibanez91 3 years ago

    Thank you! I was super frustrated and couldn’t figure out my homework.

  • Maii Mooii 3 years ago

    Your student is lucky . Great teacher ๐Ÿ‘

  • arcos 025 3 years ago

    Great teacher , beautiful teacher thumbs ๐Ÿ‘๐Ÿ‘๐Ÿ‘๐Ÿ‘

  • Mal TV 3 years ago

    Anybody else have a calc test tomorrow? Like if so

    • Mario Rodriguez 2 years ago

      @Egg Fair enough, I respect that

    • Zeyad Mo7ammed 2 years ago

      Itโ€™s 12:47 test is 1 wish me luck fellas

    • Mal TV 2 years ago

      Zeyad Mo7ammed howโ€™d it go man

    • TMTM 2 years ago

      @Egg /r/iamverysmart

    • Egg 2 years ago

      @TMTM *r/ihavereddit*

  • Nicole Diaz 3 years ago

    so this is what you should do when you’re asked for the slopes of the devil’s curve right???

  • Franco Ortiz 3 years ago

    Wait a minute! Are you writing backwards? That’s awesome!! How can you do that??

    • Not gerald 3 years ago

      Franco Ortiz reverse the video u dumbass

  • Uzi'sUzi 3 years ago

    She is a queen, ruler of thots, and saviour of those in the war with calculus.

    • Purab Ahuja 3 years ago

      ah i see a man of culture

  • Matthew J 3 years ago

    has she trained herself to write backwards, cause omg thats talented

    • ajshfhcnskfjfk 3 years ago

      I feel like the screen is mirrored in editing

    • AngryAxew 3 years ago

      they just flip the video in editing dumbass

  • simat007 3 years ago

    Absolutely amazing video. Thanks, it was very helpful!

  • Eaman Tareen 3 years ago

    what would you do if you dont have the y value given though?

    • Alysa A 3 years ago

      Solve for it

  • Vade 3 years ago

    I have to watch this at 1.5x

  • Jay Koucoules 3 years ago

    Thank you!

  • Md.Shafin Ahmed 3 years ago

    Many many thanks mam.

  • Lx Golden 3 years ago

    You save my life ๐Ÿ’š ty ๐Ÿ˜Š

  • Emmanuel Nava 3 years ago

    I love you

  • PBS Alyid 3 years ago

    HI Nancy! so what would it be in this case.. Your answer would be greatly appreciated

    x ฬˆ + x + ฮฑx3 = 0

    ฮฑ = 0, 2, โˆ’2

    Regards

  • TheDevilKing515 3 years ago

    i think i’m in love with math xD

  • Ahmad Haidar 3 years ago

    I always found point slope formula unnecessarily complicated. I find it much easier to use the well known y=mx+b substitute x and y with with your (x,y) ((1,3) in the first example) coordinate values, and substitute m (5) with your slope value and solve for b.

    So 3=5(1)+b —> b=-2

    Now rewrite y=mx+b with your b and m value so y=5x-2
    ezpz

  • sa MoBa 3 years ago

    Thank you.

  • Muhammad Usama 3 years ago

    tbh the best i have seen on youtube <3

  • Arsalan khan's VLOGS 3 years ago

    That’s why I love Parabola and equation of Circle.

  • Arsalan khan's VLOGS 3 years ago

    OHH my Gosh is used to wrote backward equations.

  • Bender Bending Rodriguez 3 years ago

    Man suck at explaining things.

  • Asif Khan 3 years ago

    that’s really great teaching method , Ma’am i am from pakistan but i am really impressed by your teaching style,you teach very slowly by doing this i have cleared all point of this tiopic

  • Chukwuemeka Emmanuel 3 years ago

    hey, mm, it looks like she is too scared about something.
    OK this is the thing, to overcome your fears, you need to be confident and free yourself because people are watching you live, so you need to practices that and anyway thank you for the lesson God bless you madam.

  • hassan hamade 3 years ago

    Dear Nancy, You’re beauty makes me strive to become a better math student. With every video, I fall more in love with you. Keep up the good work and keep making videos ๐Ÿ˜‰

  • Noizร‰ BuoY 3 years ago

    maybe you also want to make a video for our professors about “how to teach math CLEARLY to your students”

  • Rahul Kumar Rai 3 years ago

    Thank you mam. U r soo beautiful.

  • Vipin Sharma 3 years ago

    Thanks

  • Cole Leonard 3 years ago

    “not all heroes wear capes”

    – metro boomin

    • Zack Vasquez 3 years ago

      metro boomin wants some more

    • account 3 years ago

      @Zack Vasquez hahAha wow that was funny

  • SONBON01 3 years ago

    She’s left handed and doing it backwards ๐Ÿ˜ฑ

    • Christopher Jay Lazaro 3 years ago

      It’s mirrored. HAHAHAHA

    • SONBON01 3 years ago

      @Christopher Jay Lazaro I realised after ๐Ÿคฃ

    • Christopher Jay Lazaro 3 years ago

      @SONBON01 had a good laugh when I saw your comment lol. Can’t imagine how fascinated were you to think she really writes backwards with a left hand. Well, good luck with calculus. I still have a lot of nancypi videos to watch for my quiz later ๐Ÿ˜ข

    • SONBON01 3 years ago

      @Christopher Jay Lazaro Thank you , goodluck with you quiz ๐Ÿ˜Š

  • Adventures of Rei kun 3 years ago

    Going to have finals tomorrow, finally I understood this topic, thank you for making these videos to help students

  • Alisha Franke 3 years ago

    Thank you so much for your helpful explanation! I like how you took your time to fully go over everything.

  • eitughtueir 3 years ago

    I just want to see a 5 minute making of post showing us how you do the mirror writing trick.

    • Doan Brandon 3 years ago

      eitughtueir she probably has a mirror that u could see through both sides and then placed her camera on one side and writes on the other just my guess

  • Harish Sridharan 3 years ago

    really in depth, but it was easy to follow and understand. In class, I was lost for a week when learning this topic, but after I watched this video, everything just clicked

    thanks! ๐Ÿ™‚

  • Francisca Pereira 3 years ago

    this is probably just me being a bit dumb but are you writing backwards?? i imagine theres a glass plane infront of you and for the camera to pic it up in the correct sense?? if thats the case what a badass ahaha,, thanks for the helpful videos :~)

    • Francisca Pereira 3 years ago

      OHHH i forgot editing software exists wow its just flipped around

  • Marec Huber 3 years ago

    Happy to say, your amazing Nancy Pi !

  • Jian8 3 years ago

    I like how you write. Reverse?

  • Rudra MUKHERJEE 3 years ago

    Hats off for your stle of writing๐Ÿ˜๐Ÿ˜๐Ÿ˜€๐Ÿ˜€

  • Patrick Armstrong 3 years ago

    Smart women are sexy!!!

  • joel simakando 3 years ago

    whaaaoooooo!!!! thank you, i’m really helped

  • ะ’ั–ั‚ะฐะปั–ะบ ะ’ะพั€ะพะฑั–ะน 3 years ago

    I think it would be easier to represent sec(x) as cos(x)^-1 . So we have like f(x)=cos(x)^-2. And obviously we get the same slope ๐Ÿ™‚

  • geni bedi 3 years ago

    thank you so much

  • Moukazaru Gen2010 3 years ago

    Finally a good one.

    yeah, I mean the chick

    • Ahmed 3 years ago

      Get lost idiot

  • Dani Hana 3 years ago

    Would it be wrong on the second problem to cancel x-1 on top and one of them on the bottom to get
    -x/x-1?

  • infundere 3 years ago

    Hi. I have a question. Is the equation wrote on the links section written correctly (x-x1=m(y-y1))? Thank you so much.

  • CHAKRADHAAR LEGEND 3 years ago

    Thanks mam,
    I like yr way to teach.

  • Aali Noor 3 years ago

    i love to watch your videos. not for the knowledge but for you only. you are very beautiful.

  • Ahmed 3 years ago

    For the genius people who keep sayin ohh how can she write from right to left… actually she is writing from left to right the secret is on the camera she is reflecting her video so it seems like she is writing from right to left.

  • zein norman 3 years ago

    how you can do that ? writing from z to a ?

  • Najee Ashby 3 years ago

    thank you for the videos!

  • David Harris 3 years ago

    Nancy, you’re everything I’d want my daughter to be!!!! You’re the best!!!

  • Super Wolfer 3 years ago

    can u help me with Equation of secent line please

    • Rashidul Bari 3 years ago

      Basically, the secant line approaches the tangent as the difference in x values approaches 0. I explain more at

  • Abishek Tiwari 3 years ago

    Speaking slowly nice

  • dreamer dreams 3 years ago

    If only x is given and y is unknown, what shall we do then? Here (1,3) is given

  • FARMAN ULLAH KHAN 3 years ago

    I want to kiss you.
    You made me love mathematics…

  • FCC Crlsn 3 years ago

    Can u pls use a darker color….pink is not easy to read ..thx!..
    Thank you for sharing your beauty and brains ….you make learning a joy !

  • Ash Villegas 3 years ago

    THANK YOU

  • My name is Marsh and I'm out this world. 3 years ago

    You need to start wearing glasses. even if you dont need a prescription, you can pick some non scripts up at Walgreens. Get some cute ones.

    • Luke Keister 3 years ago

      why?

  • un known 3 years ago

    How would you graph that after finding the answer, do you have a video for that? Thank you, Nancy!

    • Rashidul Bari 3 years ago

      Basically, graph the parent function, and then use the points associated with the tangent line to graph the tangent. I explain more at

  • Frederick 3589 3 years ago

    Luvโค๏ธU!

  • Jose Emmanuel Navarro 3 years ago

    Very helpful!

  • manzaza 3 years ago

    I’m trying my best to learn calculus with my last remaining brain cells. Thank you Nancy for this very comprehensive video.

  • We do research 3 years ago

    Hey!! Very very thanks for helping me for my question which will help me to crack CBSE board exams.

  • Kanat Almazov 3 years ago

    Good

  • Luke Keister 3 years ago

    thank you. explained it perfectly in a way that I can understand easily.

  • Sophie eurdekian 3 years ago

    Thank you my kween. I am forever grateful.

  • Abed M 3 years ago

    You are the best! I can only show love through subscription and likes ๐Ÿค—

  • Leticia Dass 3 years ago

    my teacher overcomplicated thee FUCK out of this, it’s so simple.

  • james hayes 3 years ago

    Thank you so much!

  • rxzzzay 3 years ago

    She bad lol.

  • weaintkoolikethat 3 years ago

    wish you could do a more complicated problem.

  • Meatball Dish 3 years ago

    Im in love with you

    • mohanad wael 3 years ago

      she is hot and beautiful

  • CMDR Bobert 3 years ago

    The basic Example really helped me get underway on my derivatives homework. I’ve never had to learn them until Uni, and still didn’t grasp it in the week I had lectures about it. Thanks for an awesome video.

  • Matthew Rivers 3 years ago

    so how do I find the equation of the tangent line:

    f(x)=7e^โˆ’0.4x ย atย x=7?

  • Abdullah Fฤฑrat 3 years ago

    allah razฤฑ olsun ลŸu gรผzelliฤŸe bak

  • yash purohit 3 years ago

    mam plx explain on the logorithm ALSO HOW TO FIND THE TANGENT LINE WITH THE HELP OF DERIVATIVE FORMULAS .

  • CuriousRabbit Media 3 years ago

    i love you

  • Rohail Ahmad 3 years ago

    great…

  • Hallie Lucille 3 years ago

    At first i was confused how she was writing backwards but she must flip it in post lol

  • Hallie Lucille 3 years ago

    Very helpful thank you so much ๐Ÿ˜Š

  • Eyad Karkadan 3 years ago

    Thank You Nancy

  • Bhanuka Maddumage 3 years ago

    If my maths teaches was pretty like you.. I’ll get an A for sure ๐Ÿ˜€

  • TrueForce 3 years ago

    she teaches us happily

  • Harry Youmans 3 years ago

    You wonโ€™t get a clearer explanation than Nancy Pโ€™s demo! Well done !

  • Akash Chaudhary 3 years ago

    Thanks mam please video on the topic maxima and minima please๐Ÿ’๐Ÿ’๐Ÿ’๐Ÿ’๐Ÿ’๐Ÿ’๐Ÿ’๐Ÿ’

  • YAHYE Ali 3 years ago

    Thanks nancy

  • Angel Morales 3 years ago

    Mire ha mi eso es suma por motivo de un forma de hoyente

  • John Atkins 3 years ago

    is she writing backwards?

  • Steamy Ninja 3 years ago

    Better than my actual college profesor

  • Sergio P. 3 years ago

    Gosh.. I am as dumb as a donkey. Actually donkeys are smarter than me, why am I even here?

  • Kumar Eklavya 3 years ago

    I love you dear

  • denysse A 3 years ago

    thank you so much!! youโ€™re my favorite youtube math tutor now!! please donโ€™t stop using youโ€™re platform to share and help the students like me whoโ€™s having a hard time understanding the lessons that are thought by our actual teachers. God bless you! xoxo

    • LOCD&LOOSE 3 years ago

      Right! Why is it hard for math teachers to explain things, but people on youtube can explain it so perfectly?!?!? I’m in a hybird calculus course and the online learning lessons is just screenshots from a textbook and doesn’t actually explain a lot of steps and why something was done. Then there’s examples of a lesson that was never taught how to solve. It’s just assumed I’m guessing. Then you have to pay another online website to complete class assignments……
      Capitalistic america and lazy professors!

    • denysse A 2 years ago

      LOCD&LOOSE ugh, ikr ๐Ÿ™

  • Eminem Official 3 years ago

    I don’t under the last part when you put 5x – 5? Where did the – 5 come from Nancy

  • Mike Jouhari 3 years ago

    Graceful.

  • Shobhit B 3 years ago

    how can you write in the opposite direction or is it some software which is doing this?

  • vincent wekesa 3 years ago

    She’s just so good!. I could hire her for any amount

  • Dani E 3 years ago

    This was extremely helpful. I didn’t even need to watch the full video. Thank you for explaining it thoroughly!

  • nothereforlong 3 years ago

    She’s like Meagan Fox, but intelligent.โค๏ธโค๏ธโค๏ธโค๏ธ๐ŸŒน๐ŸŒน๐ŸŒน

  • Boubacar Niang 3 years ago

    I bet you got 750 out of 800 in your Math Sat

  • Terry Yoo 3 years ago

    does she have to write backwards for it to not look flipped for the camera?

  • Faraji Bijoy 3 years ago

    Visual ASMR.

  • Conor Doyle 3 years ago

    How does she draw everything backwards

    • LOCD&LOOSE 3 years ago

      I’m certain she flipped the video. I was wondering the same thing!

  • Victor Moreno 2 years ago

    ily ty

  • Azhar Khan 2 years ago

    Thanks a lot, NancyPi. As always, you make Calculus easy to understand.

  • World Meets Boy Right Back 2 years ago

    you’re pretty……………….smart! haha

  • ู†ุงุตุฑ ุงู„ุนู†ุฒูŠ 2 years ago

    ุนู„ูŠ ุงู„ุตุฏูŠู‚ ุงู„ุงุณุทูˆุฑู‡

  • Tim Rubin Halcomb 2 years ago

    If you were my teacher, wow, there’s no way I’d be able to concentrate on math. I know you must get that all the time. Have you ever noticed that you’re actually a very beautiful woman? Sorry! LOL

  • Eleven Thirty-Seven 2 years ago

    Suddenly, I am this much more interested in math.

  • sasuman shake 2 years ago

    Sheโ€™s hot no cap now I wish she was my calc teacher

  • Fred Ghannam 2 years ago

    god bless you for not littering your board with d/dx’s and stuff.. like obviously we know whats going on you dont need to make it look so messy

  • Emily Hernandez 2 years ago

    This was extremely helpful! Thank you!

  • Shashank Bhagwat 2 years ago

    Thanks that simplified a lot!

  • Victor Magana Jr 2 years ago

    is she writing backwards??? how is this video possible??? im so confused

  • Hijazi. 2 years ago

    Thanks

  • Tshiamo 2 years ago

    Very helpful

  • Chris Walker 2 years ago

    a linear…..line ๐Ÿคฃ๐Ÿ˜‚๐Ÿ˜…. Great video. I’m learning so much calculus. I don’t even know why. I’m not even in school!

  • Christian Hernandez 2 years ago

    I swear, I you were my professor, I would fail your class! ‘Cause I wouldn’t be able to keep my eyes off you!

  • Jordan V 2 years ago

    I love how she speaks slowly and gives multiple examples. It’s almost like she knows I’m a moron and yet she does not judge me.

    • Hope4NewDay 2 years ago

      A true teacher. ๐Ÿ˜‚

    • arklanbk 2 years ago

      shes judging u silently

    • Mario Rodriguez 2 years ago

      HAHAHHAHA hilarious comment

    • Jeison Garrido 2 years ago

      I feel you bro

  • Ali Mae 2 years ago

    I really appreciate how you explain each step and include the simplest of things like labeling the slope as โ€˜mโ€™ because some of us get confused when only slope is said.

  • Luke Gordon 2 years ago

    There is a special place in heaven for you madam – many thanks!

  • It's Siyric 2 years ago

    you say the third step is to find the y coordinate yet because you decided to already include it in this example you just skip over it. Would have been nice to see that step in case a problem doesn’t give the whole point.

  • Logical One 2 years ago

    Really! Thank you!

  • Pjerino D'Luigi 2 years ago

    First you use the left hand, write in the opposite site and you do calculus so you are way to smart.

  • Dann Halverson 2 years ago

    Thank you for doing these. You are an awesome teacher. I wish I had these videos when I was taking math classes in college.

  • Serdar Mamadzhanov 2 years ago

    you lost me at “find”

  • Eleazar Rivas-guzman 2 years ago

    she is so pretty

  • 3 Hotz N a Cot 2 years ago

    Can you make a video specifically on subtangent

  • Lugia strikes 2 years ago

    Thanks for the explanation

  • Zsolt Vastag 2 years ago

    When you mistake “at” for “a+”.

  • Tarik Avdoviฤ‡ 2 years ago

    Thank you queen

  • hเนshi 2 years ago

    saved thank god–

  • Irshad khan Yfz 2 years ago

    Hi mam

  • R O 2 years ago

    Hi guys, am Nancy

  • Camilo Delgado 2 years ago

    She does too much for her to just ask for a like OR to subscribe. For her work she should always say to like AND subscribe. Love the material she puts out!

  • Bobbyaf 2 years ago

    I find it difficult to see when u use pink colors……

  • Pallav 2 years ago

    10:13, f(2) = 1

  • Sanjeevappa Nagesh 2 years ago

    Madam, all your lectures are so lucid! We did not have calculus in high school, and as a clinician I needed to understand the dynamics of the on-going Covid-19 pandemic. I have been able to learn calculus from your lectures, and have been successful in understanding the epidemic curves much better. thanks so much!

  • Nadeesh RA 2 years ago

    Brain: look at the way she solving
    Heart: look at her beauty

  • ุฃุญู…ุฏ ุงู„ุดุงูุนูŠ 2 years ago

    where are you when I was Yung!!! awesome illustrative from an awesome girl

  • Anjali Drode 2 years ago

    Very helpful mam

  • Christian Estrada 2 years ago

    Hi

    • Christian Estrada 2 years ago

      Do you do one on one math tutoring?

  • account info 2 years ago

    ๐Ÿฅฐ๐Ÿฅฐ๐Ÿฅฐ๐Ÿฅฐ๐Ÿ’ž๐Ÿ’ž๐Ÿ’‹

  • Mojgan dxb 2 years ago

    Thank u soooo much, ur videos are life saving !!!

  • Rao Arif 2 years ago

    you r a great teache

  • Andrey Serov 2 years ago

    “it’s a linear line”

  • Bradley Bell 2 years ago

    So so helpful! Thank you!

  • Fleato 2 years ago

    prof has a great saying for quotiant rule, ” low dhigh less high d low, down below, low square we’ll go.

  • Drearo 2 years ago

    i lost

  • Frank Jeremy 2 years ago

    How does she write backwards on the board so perfectly?

  • gabriel walsey 2 years ago

    she writes backward

  • Martin Arthur Fleming 2 years ago

    Did anyone else notice see only brought square root 3 over and not sqr root 3/2. Or did I miss something?

  • Martin Arthur Fleming 2 years ago

    Disregard my previous comment. I had a slight senior moment.

  • Technic tester 2 years ago

    Omg if she was my maths teacher I’ll be present in the class every day

  • Hengky Franklin Gultom 2 years ago

    This is so Dope

  • Shaadi Dimitri 2 years ago

    Howโ€™s she writing backwards doe

  • Bonnie Mairead 2 years ago

    Dude, she wrote backwards the whole time.

  • Godiya Education Direct 2 years ago

    Great job. Please I would like to know the devices you used in your lecture that made you to face viewers all through your lecture.

  • Godiya Education Direct 2 years ago

    I would appreciate if anyone can help answer my question

  • per olin 2 years ago

    verry good math-teacher !!!

  • Leonel Leรณn 2 years ago

    Soooo much more help than my professors or the online learning tool. Found how I am going to learn calc this semester. Any suggestions for Orgo I?

  • Che Angel 2 years ago

    Do anyone ever wonder how she can write inversely

  • Franski7 2 years ago

    These are very helpful, just a note, pink is very hard to read.

  • Nikhil Sethi 2 years ago

    Hi ma’am
    I must say commendable video.
    Love from India ๐Ÿ’–
    By the way,Which board are you using. Where can we buy one.

  • Jogeshwar Sandhu 2 years ago

    You seem really good at reverse writing. Nice skill.

  • RougeRapier : 2 years ago

    0:24 It’s a linear…..line

  • T Unal 2 years ago

    Thank you. You really helped.

  • Mario Rodriguez 2 years ago

    THANK YOU SM you just saved my grade

  • John Z 2 years ago

    beautiful, simple, to the point. Thanks

  • Arnel Hernandez 2 years ago

    Very good teacher! Thank you nancy!

  • salifyA kalengo 2 years ago

    NANCY IS KINDA HOT LOL

  • talenttrading 2 years ago

    Is one the only number that starts with w? are there any other words written with the letter o that sound like w this is driving me nuts help me out Nancy

  • Gautham Narayan 2 years ago

    thanks for the method and different examples

  • Yasser Sinjab 2 years ago

    clear explanation

    • Yasser Sinjab 2 years ago

      Ahaaa an MIT graduate … that’s why ๐Ÿ˜€

  • Umb Nmbu 2 years ago

    Are you writing on a screen? on a window??

  • Al M 2 years ago

    When I see such a beauty woman I can’t think about anything except this woman (

  • Study Math Easily 2 years ago

    VERY NICE #STUDYMATHESILY

  • Tamrat Misgana 2 years ago

    You are a great teacher thank you and bless you!!!

  • Sereesh Reddy 2 years ago

    wow she writes everything backwards so nicely

Comments are closed.