How to Do Implicit Differentiation (NancyPi)

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Published on September 15, 2018 by

MIT grad shows how to do implicit differentiation to find dy/dx (Calculus). To skip ahead: 1) For a BASIC example using the POWER RULE, skip to time 3:57. 2) For an example that uses a TRIG FUNCTION and the PRODUCT RULE, skip to time 7:20. Nancy formerly of MathBFF explains the steps.

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

What is implicit differentiation? Up until now, most functions you've had to differentiate have probably been written EXPLICITLY as a function of x, such as y = x^2. However, if a function y is written IMPLICITLY as a function of x, such as x^2 + y^2 = 9, you will need to use implicit differentiation to find the derivative dy/dx. The only difference is that any time you take the derivative of y, you must also multiply by dy/dx. The reason is that y is dependent on x. You can think of y as containing some x expression inside it, so
implicit differentiation is basically a special instance of the chain rule in which you must take the outside derivative but also multiply by the inside derivative, which is dy/dx in this case.

Here are the steps to doing implicit differentiation to find DY/DX:

1) TAKE THE DERIVATIVE OF BOTH SIDES, MULTIPLYING BY DY/DX every time you take the derivative of a Y: The first step is to take the derivative of both sides of the equation, with respect to x, but to attach a dy/dx if you ever take the derivative of y. For instance, to implicitly differentiate the equation x^2 + y^2 = 9, take the derivative of both sides with respect to x. On the left, the derivative of the x^2 term is just 2x. To differentiate the y^2 term, in this case first use the power rule to get 2y, and THEN, because y is dependent on x, you must multiply the term by dy/dx so that you have y^2 times dy/dx. Don't forget to differentiate the right side of the original equation as well, which was the constant 9, so the derivative is just 0. Your new, differentiated equation is then 2x plus y^2 dy/dx = 0.

2) GET DY/DX ALONE ON ONE SIDE: The third step is to solve for dy/dx, or in other words, to get dy/dx alone on one side of the equation. Next, DISTRIBUTE AND EXPAND BOTH SIDES if necessary distributing or opening up any terms that have parentheses. Then, if dy/dx appears in more than one term, get those terms together on one side and use the SIMPLIFICATION TRICK OF FACTORING out dy/dx from those terms so that it then appears only once on that side. Finally, DIVIDE OUT any factor that is currently multiplied by the dy/dx so that you are left with dy/dx alone on one side and an equation that looks like dy/dx = some other expression.

NOTE: Only multiply by dy/dx if you are taking the derivative of y. In more challenging examples like the second example in this video, you do not need to attach a dy/dx if you are just multiplying by y. For instance, when differentiating a term like xy, using the product rule gives you x times dy/dx plus y. Notice that in the second term from the product rule, it was not necessary to attach a dy/dx to the y, since you were not taking the derivative of y in that term.

For more of my calculus and math videos, check out: http://nancypi.com

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481 Comments

  • Abel Lopez 4 years ago

    Thank you!

  • blizzaroxxx 4 years ago

    I miss you. Please do complex numbers

  • Simo Dahmani 4 years ago

    do abstract algebra NO one is doing it properly on youtube

    • TaeKun 4 years ago

      Fematika* hes a kid who does it very well

    • StarDagger Rihannsu 4 years ago

      You don’t “do” abstract algebra, it DOES YOU!

    • StarDagger Rihannsu 4 years ago

      @TaeKun Hey THANKS! I really need this for a cloaking device problem

    • TaeKun 4 years ago

      @StarDagger Rihannsu Lol he helped?

    • etru6 3 years ago

      Would be neat to see, but it’s probably too advanced and might not get enough views for it to be worth her doing. All of her stuff I’ve seen is at the Calculus 2 level at most, which millions upon millions study ever year. Most of the people studying abstract algebra are just math majors. It’s probably 1000 times less than the number of people that study basic calculus.

  • haji alhaeri 4 years ago

    thanks nancy

  • Nomon Munir 4 years ago

    NancyPi, when would this be used in real life calculations?

    • John Overton 4 years ago

      Physics, economics, basically every legit scientific field.

  • Natalia Andrade 4 years ago

    I’m so glad you’re doing so many more topics!

  • Aayush Pashine 4 years ago

    Great explanation!!! Thanks

  • Sal7_one 4 years ago

    Welcome back!. Gonna use this video later in this semester thank you 👌🏻

  • Ahmed AlShalchi 4 years ago

    My best math teaching channel yet.

  • Noor Samrein 4 years ago

    Dear Nancy, Love you .. you’re my hero ..

  • Decaf-Math ASMR 4 years ago

    I like your half thinking/half explaining face–the rhetorical “does that make sense?” to the camera haha. Good job Nancy 🙂

  • Yuyang Zhao 4 years ago

    Could you do a video on solving the derivative of the trig function by definition??? Thx!!!

  • kristel styles 4 years ago

    Nancy solve word problem plss😔

  • John Overton 4 years ago

    who else’s y detector was set off at 8:01

  • Manuel Gopan 4 years ago

    Gonna dislike cuz why are you not my math teacher . SMH

  • Maria das Santos 4 years ago

    Excellent.

  • مقتطفات رياضية/ اخبارية 4 years ago

    Ms Nancy. I watch your videos from Iraq. Keep up the good work “You r my real math teacher”. I appreciate you

    • Ali Salih 3 years ago

      Me too ✌😂

    • Panty Sniffer 3 years ago

      And wich part of her body do you appreciate the most?

    • Awesome code Yay 3 years ago

      First off, Panty Sniffer is a pervert. Secondly, Nancypi only has a few math videos. I don’t think she can ACTUALLY teach you an ENTIRE grade in these few videos. These videos are meant to help you with your course.

    • Vincent Lee 3 years ago

      @Panty Sniffer her brain

    • SxZ edits 3 years ago

      يا سلام في عرب وانا فكرت اني الوحيدة😂

  • dan carroll 4 years ago

    are you right handed?

  • Sachin Vishnu 4 years ago

    Thank you so much for making this cool video 😊

  • A-KASH 4 years ago

    I. LOVE. YOU…….N A N C Y

  • Abobobini 4 years ago

    There’s a fucking monster on my roof

  • Abobobini 4 years ago

    >tfw math bff is dead because no more Nancy

  • Bae Haiza 4 years ago

    Hi Nancy, can you teach us how to use the L’hospital’s Rule?

  • TheMias24 4 years ago

    Hi, what happened to math bff?

  • kailash negi 4 years ago

    Can u tell me value of tan inverse

  • MarPlaysMinecraft 4 years ago

    Nah bless with some squeeze theorem

  • अनु-raag 4 years ago

    Laplace Transforms and Multiple Integrals would be really helpful.

  • snotface8 4 years ago

    Wow she helped me a lot in calm but I remember her old channel being something different

    • Vivian Shen 4 years ago

      she changed channels LOL

  • Jody Raiford 4 years ago

    14:08 “I just did a bunch of calculus, and it’s not my job” CLASSIC

    • Chemist Me 4 years ago

      @Jody Raiford thanks

    • StarDagger Rihannsu 4 years ago

      @Chemist Me I know this might be radical to some guys, but she is a well educated woman who has a grand career ahead of her, an MIT grad as well as a YouTube phenom.

    • Blox117 4 years ago

      @StarDagger Rihannsu no shit sherlock, what is your point?

    • Nisha Huggins 3 years ago

      That’s what I thought she said lmao🤣

    • Fred Douglas 3 years ago

      @StarDagger Rihannsu sounds to me like you are the one being sexist here. All of us here accepted the fact this isn’t her main job, yet you had the impression we thought that way. Dont try to sound morally straight when you lean buddy.

  • Sami Nazari 4 years ago

    How do I get an in-person tutoring from you? 🙂

  • 이지로 4 years ago

    Thank you!!

  • Martinsjunior Banda 4 years ago

    Wish I were your student,nice keep up!!!!

  • CLIFFORD MAMO 4 years ago

    Really helpful. Clear explanation. Stress to the point. Fantastic.

  • Peter Griffin 4 years ago

    This helped me A LOT. Every university should link to your video (mine does, TU/Delft)

  • SD Hadoken 4 years ago

    Thank you Senpai.

  • Roba Youssef 4 years ago

    You saved me, I have a teacher who I never understand a single word from her and mathematics is my major.. thank you so much, wish you all the happiness !!

  • Mackenzie Costner 4 years ago

    Your channel is so under rated! You explain things so well! I watched your Q&A btw! I am on the East Coast too and I loveeeeeeeeeeeeeeee pasta!! lol

    • Qbabxtra 4 years ago

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    • شاهيد باربويا 3 years ago

      Mackenzie Costner nhi degi

  • Gabriel Ramirez 4 years ago

    I always forget to factor to get only 1 dy/dx

  • bowwow 4 years ago

    thank you for sharing your intelligence, Nancy.

  • Serspeny 123 4 years ago

    I am struggling with BC, and your video helped me a great deal!

  • Jehad Hawa 4 years ago

    Thank you is not enough to say, You really helped me in most of the things that I need.
    Thank you Nancy

  • Don Miguel 4 years ago

    Hi ma’am Nancy your the reason why I always pass my exam in Differential Calculus. Thank you always😊

  • Michael Sharoyan 4 years ago

    Could you explicitly give me your phone number? XD

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      Hahahaha you are legend

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      Funny

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      911

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      Get in line

    • Vicent Kibona 4 years ago

      Pliz help me this problem.
      Let f(x,y)=c be an implicit function, show that
      dy/dx=-fx/fy

  • Adam Dintelman 4 years ago

    I lost it when she said “y-detector” lol

    • Vaiebhav Patil 3 years ago

      When?

    • Light *4* Love 3 years ago

      *will be amusing herself with this during the final on Monday*
      (in buzz lightyear voice) ‘you don’t wanna be in the way when my y detector goes off… y’

    • John Eko 3 years ago

      Exactly

    • Marc W. 3 years ago

      @Vaiebhav Patil 7:59

    • Vaiebhav Patil 3 years ago

      @Marc W. Thanks!

  • Hka9a 4 years ago

    How can you write in reverse so well?

    • The Systematic Ending 4 years ago

      bro could you be so dumb

    • Michael Guariglia 4 years ago

      Hey, at least Cole gave an actual answer instead of being an asshole. Keep making your sad excuses of a foam gauntlets.

    • Max Grover 4 years ago

      because shes left handed…

    • leo teka 4 years ago

      Never heard of sarcasm ? Or was your comment sarcastic too? Thats why sarcasm should only be used in real conversations…

    • Ryan Cook 4 years ago

      @Michael Guariglia HA! Got him!

  • Xct079 PkTr37 4 years ago

    7:17 Creepy :O Btw, you make things look very simple lol xD Wish I could do like a pro in exams.

  • Lucas Toledo 4 years ago

    Invaluable. Your videos are invaluable. Thank you very much!!!

  • Kano Mora 4 years ago

    My professor is useless. He couldn’t explain this properly in over and hour. Thank you for making our lives easier.

  • Brandon Lee 4 years ago

    Please upload videos about 3D Vectors. Getting destroyed in college.

  • Dominic Cirineo 4 years ago

    Like Megan Fox, only with significant intellect and clear teaching skills, haha

    • Michael Maxwell 3 years ago

      She is beautiful isn’t she. Reminds me more of Jennifer Connolly though.

    • Tomi Brian 3 years ago

      Ha!😂😂😂

    • Wahab Files 3 years ago

      you judgmental prick!

    • sunnyztmoney 3 years ago

      @Roman V. she has nasty toe thumbs

    • kelenerz 2 years ago

      Her voice sounds similar to Megan’s but physically, she reminds me more of Angelina Jolie.

  • Trains and Lanes Demos & Fun 4 years ago

    These videos are life saving.

  • Carlos Vazquez 4 years ago

    Wow. I just found my online teacher. Thank you NancyPI!!!!!

  • ronald alberto 4 years ago

    how to did she get the x+1? by factoring the dy/dx? please help me..

  • Renz Badillo 4 years ago

    Thank you!!! 😍😍😍

  • nemo one 4 years ago

    Thank you for your help.Now I can tell that I understand how…to do implicit differentiation. What is still murky is the meaning of all the stuff. Perhaps I only have to think more over it!

  • Garvey Chu 4 years ago

    Thank you

  • Wes Robertson 4 years ago

    OMG it was to factor out the dy/dx. Of course. Now I feel stupid after staring at this for 20 minutes. Nancy the witch! haha you and your sorcery. xD

  • Ahmad imran 4 years ago

    Hello Miss @NanciPi, can you make video about chapter functions and De Moivre’s Theorem. I like the way how you explain it and solution in other videos. Sorry my bad language. Thanks

  • honglin li 4 years ago

    I only noticed her armpit

  • Erika Hays 4 years ago

    You are great! Thank you so much for the awesome videos.

  • tristan 4 years ago

    I need help with this one problem that I have to solve with implicit differentiation. We have to find dy/dx and d^2y/dx^2. The problem is xy-x+y=2. For the first derivative I got (y-1)/(x+1) but for the second derivative I am completely stumped and its most likely due to the algebra. :/

  • scrainbow1234 4 years ago

    this video is a GODSEND

  • Ebenezer Belayneh 4 years ago

    Thankyou!

  • Kevin Nichols 4 years ago

    Police Sirens in the foreground @ 5:49

  • S&N Cars 4 years ago

    excellent explanation but please do some more complicated examples

  • Caleb Frank 4 years ago

    Oh Ma’am You are the best …I REALLY love the way you teach Calculus

  • Michael's Gallery 4 years ago

    When the teacher covered it, it made no sense and seemed a beast of a concept! Now thanks to you it is a small kitten! Thank you!!!!

  • Tuff 4 years ago

    Don’t let this video distract you from the fact that she is sitting on the right not on the left!

  • Paul Garden 4 years ago

    Coming back after a year off math to find Math BFF gone was a sinker, you and Khan got me through my first two years distance learning. Thankfully I found this channel and get instant revision in your familiar cool, calm manner and slightly downward sloping, backward handwriting! Please keep up the good work Nancy, for us non-math built people, you are a God send.

    • rzl dzl 4 years ago

      Shout out to you paul, im in the same boat let’s get it

  • werawkthishousedown 4 years ago

    this video was AWESOME. you saved my life, thank you so much.

  • DNGL 4 years ago

    i thought she was writing with some whack ass form of backhand writing but then i noticed she is using glass in front.

  • ArleynH 4 years ago

    thank you uploading your videos despite all those creepy morons in the comments!

  • j o t e e 4 years ago

    thank you!!

  • The Systematic Ending 4 years ago

    seriously you are the hottest nerd there is seriously

    • Emily Reynolds 4 years ago

      She’s not hot. Lmao

    • BASEsick TRUTH 4 years ago

      She is hot enough to be a celebrity. I would comfortably use the word “gorgeous”

  • TheCoconutCookie 4 years ago

    You rock

  • J P 4 years ago

    I would make you my girlfriend 🙂

  • Myles Wright 4 years ago

    This helped me a lot thanks!

  • lol lol 4 years ago

    you’re beautiful

  • Rockwall 4 years ago

    How do you know Y is dependent on X?

    • Decaf-Math ASMR 4 years ago

      Because we’re assuming X and Y here are defined in the common sense, where Y= some function of X (like when you plot on the XY Cartesian Coordinate Plane). It’s just that for implicit differentiation problems, you tend to not be able to explicitly write Y in terms of X, but the equation still gives us a relationship between the 2. 🙂

    • Rockwall 4 years ago

      @Decaf-Math ASMR Thank you!

    • Decaf-Math ASMR 4 years ago

      @Rockwall No Problem 🙂

  • Ryan 4 years ago

    Thank you for these videos they help so much.

  • BASEsick TRUTH 4 years ago

    How are you both exceptionally beautiful and intelligent? This seems impossible

  • ESRA VISITOR 4 years ago

    Please Teacher Nancy explain absolute maxima and minima I’ll be thankful 😭🙏🏻🙏🏻🙏🏻

    • jk masters 3 years ago

      the max and min are where the graph of the function reached either the highest or lowest point possible, for example, f(x)=x^2 has a minimum of (0,0) but no maximum because both sides continuously approach positive infinity

  • Hzynzgrztrk 4 years ago

    Ya ben seni izlemekten dersi dinleyemedim be hocam 🙂

  • Mariana Lopes 4 years ago

    THANK YOU Nancy <3

  • isabell d. 4 years ago

    THANK YOU

  • pui wah ma 4 years ago

    you say not taking derivative of y so you keep the y in 9:10. But you take the derivative in the y in 9:35. Actually why ?
    I am in the mess

    • Haris Y 4 years ago

      In the first one she is taking the derivative of x^2y according to the product rule(x.y = y’x+x’y), in the second she has to cause you have to take derivatives of all functions on both sides

  • Ahmad Seyar Siam 4 years ago

    Thanks mam

  • Javier Gonzalez 4 years ago

    Thank you very much this really helped

  • Asher Reid 4 years ago

    Your videos make cramming for my exam much easier

  • Victor Mwaniki 4 years ago

    Good job Nancy.You help me alot. You are so beautiful by the way 😘.

  • Hameedat A 4 years ago

    Hello. Just wanted to say your videos are helping me a lot. I’m really struggling in calculus, and your videos help. I was wondering, if you can maybe do a video on particle motion and optimization? Thanks

  • Mr. media 4 years ago

    Which book is basic and best for differentiation?

  • Loor Skafe 4 years ago

    you’re literally a life saver. thank u so much

  • Ebrima Dem 4 years ago

    This example are cheap can yu please Solve more complıcated ones

  • Ebrima Dem 4 years ago

    Thanks

  • Cassidy 4 years ago

    you have SAVED my calc grade

  • Proud Muslimah 4 years ago

    Thank you I love you !

  • Josh Keeper 4 years ago

    Hi I really like the way you explain. I wish you could make a full course on calculus 1,2 & 3 with quizes and all.

  • zj upload 4 years ago

    omg im a fourth year double math student at church teachers college Jamaica and damn i understand this in one watch thank you angel.

  • FBI – Federal Bureau of Investigation 4 years ago

    boys stop gassing her up, she is not even that hot…

  • Aarohan Bordoloi 4 years ago

    😳😳

  • Bryceyg 4 years ago

    is she actually writing that backwards, or is it some camera play, if so what a talent.

    • SRL Signs 4 years ago

      In her profile pic her hair is parted the other way so she records backwards and flips the video during editing so we can read it.

    • Justin S 3 years ago

      @SRL Signs holy crap you’re observant mate

    • Coenie Breytenbach 3 years ago

      @SRL Signs No ! recorded normally and image is flipped as in photoshop.

    • FlyingPanda ? 2 years ago

      SRL Signs lol just because her hair is flipped the other way? You can see that sometimes she slips up and doesn’t write the numbers as well as she does other words. So either her handwriting goes from good to 2nd grade level in an instant, or she’s recording normally.

  • Issa Solís 4 years ago

    Can you do a video for nth derivative?

  • Sagi Reuven 4 years ago

    This is the first time I have seen one of your videos Nancy. I very rarely comment on any videos, but I have to say that I think you are simply amazing! I am sure it must take so much concentration effort, being able to write everything backwards, while still keeping it all together and explaining everything in such a clear and calm manner AND never forgetting to switch between the two colors (every single time!). I have subscribed and am sure to watch your other videos as well as soon as they become relevant during my studies, Thank you so much for preparing and uploading this very professional video, much appreciated!

    • Ruben Cervantes 4 years ago

      so im not crazy, how do you even do that and keep it together. writing mirrored is a huge skill

    • Nano Tellez 4 years ago

      She’s not writing backwards. It’s a simple post-editing trick to flip the image. Lots of people doing videos with a clear board these days, so it’s a fairly well-known process. Other than that, you’re spot on that her video was extremely well-done.

    • Sagi Reuven 4 years ago

      @Nano Tellez Thanks for making me feel like a fool 😂 I really didn’t think about the option.. So Nancy is also not left handed 😉

  • FatPeopleJigle 4 years ago

    On the second example. Can you add dy/dx + dy/dx to get 2dy/dx. then you divide the two? but it would make the bottom equal -2x^2. So what’s wrong with my logic? Please answer

  • Ruben Cervantes 4 years ago

    does anyonw else get distracted at the fact she is writting mirrored. or am i crazy. like shouldnt the numbers be backwards to the camera. is she using a program to edit it to show correctly or is she actually writting mirrored.

  • Tyler Campbell 4 years ago

    Can’t believe it took me 4 videos to figure out how your writing. Good thinking on your part!

  • Lourdes Rodz 4 years ago

    “So that should set off your “y” detector” lmao

  • Lourdes Rodz 4 years ago

    love this video, it help a lot! thanks!!

  • Lucy Jennifer 4 years ago

    Why didn’t you do the derivative of that other y? I’m lost 🥺😭

  • Billy Doherty 4 years ago

    you are literally the only reason i am passing calculus thank you

  • Doc Moore 4 years ago

    It would help to write out the chain rule and show WHY this dy/dx crops up. Go just a little deeper.

  • ellee 4 years ago

    You are the physical embodiment of girl power! Keep fighting the good fight!

  • Miguel Kiesse 4 years ago

    Very beautiful theater!!!

  • Brain Gainz 4 years ago

    Some topics in mathematics just make me so sad…

    Parallel lines, for example. They have so much in common, but they’ll never meet!

  • abhi nay 4 years ago

    I am a upcoming chartted accountant, , thanx for your video and for your beatiful face

    • BennyBenson 4 years ago

      more like an upcoming pervert

  • hama kurdish 4 years ago

    I have a fast way

  • Ahsanul Houqe 4 years ago

    pink color seems invisible on the screen…

  • MIRZA BABU 4 years ago

    most beautiful teacher of my life

  • Sergio Fuentes 4 years ago

    I’m in a 4 week intersession calculus class and last time I studied algebra was 10 years ago. Your videos makes it so much easier to understand, the teacher explains based in algebra which has its value but it’s confusing to me. You speak in terms of calculus and that makes it so much clearer for me to understand. Thanks for the easy to follow explanations

  • Joe Dempsey, Sr. 4 years ago

    It seems unsatisfying to me to have a y in the final answer. I would solve for y in terms of x in the original equation and then substitute it into the equation for dy/dx.

  • George Polasky 4 years ago

    Wonderfully explained, Nancy. Thank you. I still need to view many of your earlier videos in order to establish the basics. Is there a particular order to your videos, going back to Pre-Calc ? If so, I would be most grateful to you if they could be listed and presented as such. If not, I understand perfectly. I’ll go back and research them. I am a subscriber and was also a subscriber when you were Bffmath. Many thanks to you, Nancy. And thanks for explaining techniques with such precision and patience. You’re amazing.

  • Trian Tv. 4 years ago

    Thanks so much for helping 😀

  • Lawrie M 4 years ago

    SHE WRITING BACKWARDS?!

  • Dathan/Beatmaking 4 years ago

    I think I just felt in love :O

  • Nancy Juarez 4 years ago

    THANK YOU SO MUCH. Hopefully I pass my calculus exam tomorrow

  • Amanda Brito 4 years ago

    thank you!!!

  • Michael Rohrssen 4 years ago

    wait are you writing backwards???

  • Felix Gonzalez 4 years ago

    But Y, so serious 😛 hahaha

  • seventeen Sebong 4 years ago

    How do you answer ×= sec 1/y ??

  • Thorn Wallis 4 years ago

    I find myself randomly staring at you instead of focusing on your teaching…

  • Nico Novatore 4 years ago

    Nancy > my calculus professors at uni.

    Thank you for doing these.

  • Carla Luna 4 years ago

    Do calculus 2 for the love of God. Please! ❤️

  • Accelerato 4 years ago

    Hey Nancy, could you do a video touching on related rates? Thanks!

  • Ally Scholten 4 years ago

    You kill it every time!!!!!

  • Gideon Gabriel 4 years ago

    Hmm, my maths teacher will call me his favorite because of this…. Lol. Thanks a lot

  • Angus Rose 4 years ago

    Just Saying, She’s writing backwards…

  • Lerato Duduzile Mbele 4 years ago

    🤣🤣🤣🤣 and it’s not your job but I appreciate the help. Thank u

  • Bacon Pancakes 4 years ago

    You teach better than that professor dave guy

  • Ivan Chowdhury 4 years ago

    thanks ❤️❤️❤️!

  • John Smith 4 years ago

    On problem #2 why did you apply the product rule like that?
    I thought product rule is
    f(x)g(x)=f'(x)g(x)+f(x)g'(x) so it should be -(2xy + x^2).

    • Warc Arden 4 years ago

      John Smith because addition is commutative……..?

  • Damani Lim 4 years ago

    “Y detector” 😂😂😂…anyways thanks…simple enough

  • Reggie87 4 years ago

    Thank you so much. your second example really touched up on other areas like product rule and algebra. Does iD involve things like quotient rule and log or natural logs. I’ll try to find out that answer before my upcoming calc test lol, if you or someone else doesn’t get to it before.

  • It's a nice day, isn’t it? 4 years ago

    I honestly can’t thank you enough Nancy. my professor is a small smelly balding man who shows his butt crack every time he tries to reach for the top of the white board, he coughs every 30 seconds (he’s a heavy smoker), and he’s all over the place, literally making it up as he goes. Your videos are pleasing in every way… perfect audio, great video quality, great examples and a clear purpose to everything you say, do and show! You make calculus stupid easy, because it is. Everyone who thinks math is hard either didn’t try hard enough or had a poor instructor.

  • Vicent Kibona 4 years ago

    Help me please
    Let f(x,y)=c be an implicit function, show that
    dy/dx=-fx/fy

  • Margaret Oka 4 years ago

    Nancy Pi you are amazing, thank you!

  • Shahir Yad 4 years ago

    Thank you Nancy

  • fuckwad 4 years ago

    she is just so fucking sexy. ridiculous. something in the water.

  • angelica vences 4 years ago

    THANK

  • Gamma Del Ray 4 years ago

    I laughed way too hard when you said Y detector. I don’t know what I am transforming into, but I am not fighting it.

  • Brian Garcia 4 years ago

    You are so helpful. Thanks.

  • Gavin Matthews 4 years ago

    god bless you

  • Hu Chay 4 years ago

    Prettiest math tutor I’ve seen

  • Hu Chay 4 years ago

    The problems that kick my ass are like….

    If xy+5e^y=5e , find the value of y” at the point where x=0

    And

    Finding dx/dy of:
    cos(xy)=1+sin(y)

    • Warc Arden 4 years ago

      second one,

      cos(xy)=1+siny
      xy=arccos(1+siny)
      x dy/dx + y= -1/(1-(1+siny)^2)^1/2 * cosy dy/dx
      dy/dx ( x + cosy/(1-(1+siny)^2)^1/2 )=-y
      dy/dx= -y/ ( x + cosy/(1-(1+siny)^2)^1/2 )
      Where did you get such questions xdd

    • Warc Arden 4 years ago

      and finally
      xe^y=x-y
      im guessing you need to find dy/dx?
      y=x-xe^y
      dy/dx= 1-(xe^y dy/dx + e^y)
      dy/dx=1-xe^y dy/dx -e^y
      dy/dx(1+xe^y)=1-e^y
      dy/dx=(1-e^y)/(1+xe^y)
      there you go

    • Hu Chay 4 years ago

      @Warc Arden I got them from webassign.net

    • Hu Chay 4 years ago

      @Warc Arden thank you so much for your time! I have a final coming up, so these will be very helpful🙂🙂

    • Warc Arden 4 years ago

      nvm the second one is wrong, I thought you had to find dy/dx
      let me fix that one for ya,

      cos(xy)=1+siny
      xy=arccos(1+siny)

      differentiating with respect to y,
      x+y dx/dy = -1/(1-(1+siny)^2)^1/2 * cosy
      so
      dx/dy= -1/y(cosy/((1-(1+siny)^2)1/2) + x)
      there ya go

      (Yeah its just the reciprocal of my original answer but just wanted to do it again with respect to y since thats what is meant to be done)

  • Tristan Draper 4 years ago

    Hi, i don’t know how often you make videos a week or month but I have my second calc test next week. May you do a video on related rates?

    • Master bitter 4 years ago

      I Ned that too also optimization

    • ANGELINE Mae 4 years ago

      Same

  • hans 4 years ago

    1:42 I thought that sound was my stomach.

  • Gravity_Well 4 years ago

    thanks

  • Natacha Haces 4 years ago

    Nancy pls do a video on related rates ;-;;;;;;;;

  • D Guerra 4 years ago

    wonderful teacher, thank you!

  • Zain Hummamy 4 years ago

    Your voice is just relaxing

  • Pius Winiger 4 years ago

    I guess there is a little mistake in your summary. Instead of “…y^2 times dy/dx”, it should be written: “…2y times dy/dx”.

  • MinuteBracelet 4 years ago

    Wow she’s really good at writing mirrored and backwards wtf
    Unless they just flipped it in post

  • Jai Gupta 4 years ago

    Thanks mam

  • Diana 4 years ago

    I got an A in my Trig class because your videos helped me so much ! I’m taking calculus now and I’m so happy to see this!!! THANK YOU

    • abood 4 years ago

      Diana get ready to get F

    • Akin Pedro 3 years ago

      @abood she cant get an F since Nancy is here

    • pew 3 years ago

      @Akin Pedro She can only get the D now

    • Benjamin Kimisive 2 years ago

      Wow all you guys are such assholes

  • Brittnie P 4 years ago

    Great videos always! Super helpful as a Calc 1 student to see other ways of thinking about and doing derivatives, limits, etc! 🙂

    • Nanda Brahma 3 years ago

      Yes

  • kkw 4 years ago

    Thank you!!!!!!! i have been trying to understand this for weeks and you explained it great

  • Bryant Keeney 4 years ago

    violet from Incredibles??

  • Srushti Patil 4 years ago

    Thank you so much…It was so helpful!😊

  • Fun Football 4 years ago

    Wow Nancy you explained what my math teacher couldn’t thanks a lot

  • Matthew Dunn 4 years ago

    I started watching your video sets on calc just before I started a course on it. Very helpful and easy to understand. Thanks a bunch!

  • Mariano 4 years ago

    I’m doing MIT open courses, this time I got books a pc and an Imac.😁

  • sam Rak 4 years ago

    Can you make a reverse chain rule tutorial please?

  • Rosie_ 4 years ago

    holy shit i finally understand

  • Hilario Alejo 4 years ago

    Excellent explanation

  • Javier Gonzalez 4 years ago

    ily

  • GZA 4 years ago

    Shouldn’t there be a dx after the 2x when differentiating x^2+y^2=36? Meaning we get 2x dx + 2y dy = 0

    • Warc Arden 4 years ago

      No, we are differentiating with respect to x here.
      thus derivative of x^2 with respect to x is simply 2x.
      derivative of y^2 with respect to x is the derivative with respect to y first and as per chain rule, then with respect to x which is why we write it as 2y dy/dx

  • Ayivor Godwin 4 years ago

    Your videos are amazing. keep it up.

  • omz3694 4 years ago

    My goodness Nancy. You teach way better than KhanAcademy. Thank you so much ❤

  • MOAYAD SW 4 years ago

    You are a gift

  • Mike Cook 4 years ago

    Thank you so much for the well constructed video and patient dialogue that walks us through each step! This is very appreciated, you’re a great internet teacher!

  • Uriel Alberto Díaz Reynoso 4 years ago

    It’s very easy tour trick. You write as always then mirror the whole video. That is why appears to be you are goofy

  • Powderhond 4 years ago

    THANK YOU!!!!!!!!!

  • Sohail Khan 4 years ago

    Excellent your teaching method is very good thank you.

  • Ibraheem Monks 4 years ago

    THANK YOU

  • IBRAHIM ADAMU 4 years ago

    like

  • Fadi Ibrahim 4 years ago

    at 12:46, Nancy’s marker magically goes from a pink marker to a black one…

  • Amanda Brito 4 years ago

    omg thank you ❤️

  • Noel Rabina 4 years ago

    Thanks for your help.

  • Mathematics only 4 years ago

    We are using chain in every question of differentiation ex. d(X^2)/dX = 2XdX/dX

  • SHRAMIK MANE 4 years ago

    Thanks for video

  • Zhyun 4 years ago

    Does anyone hear a faint siren sound in the background ? Or is it just me ?

  • Akhil Dileep 4 years ago

    I have a graph with me. Which have only phase of 180 degrees. But have a length of 1000mm. And a maximum height at 90 degree of 1mm. How can I find out the equation.??

  • Sasha Smith 4 years ago

    I’ve never been able to work out how she is able to write backwards.

    • Huda Mursal 4 years ago

      EightLeafClover she doesn’t

    • kipngeno kevin 3 years ago

      @Huda Mursal What happens then? How does she manage that?

    • Nate Grant 3 years ago

      She mirrored the video

  • One Man Wolf Pack 4 years ago

    U r soooo hot

  • Esteban Burguete 4 years ago

    Great video. Thank you.

  • asok das 4 years ago

    Can’t we convert the equation into y=√(36-x^2) and then explicitly differentiate it?

    • Benedict Maddara 3 years ago

      try to do it.. and compare the results 🙂

  • SilentMoon 4 years ago

    derivative of y=x^2 with respect to ln x

    • SilentMoon 4 years ago

      @Abhinav Jain thank you for your reply.

  • Abdullah Shoaib 4 years ago

    Why were you so shy while recording the video by the way thank you very much

  • Sefidicus 4 years ago

    Thank you so much Nancy !

  • Matthew Graham 3 years ago

    Nancy. Thanks for taking the time to take your time. The biggest problem with seated lectures is that the teacher knows the material so well that they go through it really fast. I never have time to fully comprehend what’s going on. Going slow and explaining your steps is so incredibly helpful!

  • Aftab Ali 3 years ago

    You are very beautiful

  • Aftab Ali 3 years ago

    I never understand English but I watch your videos

    • Shahil H 3 years ago

      I can tell by your perfectly constructed English sentence

    • Aftab Ali 3 years ago

      @Shahil H Matlab

  • letti libra 3 years ago

    useful – thanks

  • Everything i love to do 3 years ago

    I love your videos

  • Sir Lynchalot 3 years ago

    I just got a bullshit PTSD and ADHD diagnoses so that I can go into the retard testing room and cheat using my TI Nspire CAS.

    • Warc Arden 3 years ago

      Sir Lynchalot the fuck

  • im Savage 3 years ago

    worlds hotest math teacher

  • Ravindu Gammampila 3 years ago

    Hi

  • Ravindu Gammampila 3 years ago

    How to simple power defferentiation ?????

  • Abdullah Albassam 3 years ago

    you are amazing thank u

  • Amanda Lee 3 years ago

    THANK YOU FOR THIS

  • Debjyoti Haldar 3 years ago

    How is Nancy writing like that? Is she writing in mirror writing or is it some computer trick! It’s blowing my mind.

  • Walter White 3 years ago

    I just love the editing like how you use a mirror for teaching purpose 😍

    • JACOB HARMON 3 years ago

      You killed the romance. Now she’s just another girl that writes normal.

  • Chiko 3 years ago

    x4y2+sin(y)2=0 plz solve this on ur videos “4,2,2” r powers

  • bina bhd 3 years ago

    Youre just awesome

  • Raj Singh 3 years ago

    u r really impressing teacher
    God bless u

  • Mark Goldsmith 3 years ago

    You only think you’re impressed but then you notice she’s doing it all while writing backwards.

  • Hamza Shavez 3 years ago

    Thank you so much for explaining it very slowly as if you know you need to teach it to someone dumb like me . which is a good thing . helped a lot!

  • Mohd Mujtaba 3 years ago

    An excellent teacher.

  • onomatopoeial 3 years ago

    her face flushes around 10 minute mark in these derivative series. I don’t know if it’s stress or something else lol

  • Albert Jerao 3 years ago

    Best help for my diff equation

  • FARMAN ULLAH KHAN 3 years ago

    Oh my GOD.
    A Teacher should be an actor like her.

  • Ann Marie Boucher 3 years ago

    The rain lands mainly in the plain.

  • Gabriel Dylan 3 years ago

    Total and partial differentiation please

  • Reem AlShanbari 3 years ago

    Thank you!

  • Zeeshan Faraz 3 years ago

    Perfect female specimen does not exisss

  • Syed Abis Hosain Rizvi 3 years ago

    Alright, you’re my new math teacher, can you please do functions(domains, ranges,types[esp. as written in thomas calculus ed 13])?
    It would be much appreciated since I just started at university. Thanks

  • Marcia Cabale 3 years ago

    i love u, thank u

  • Jim Bullock 3 years ago

    Lose the pink marker. It is not showing up well on your board. Stick with black, blue and green markers!

  • Ramy G 3 years ago

    How are you able to write on the glass board from the rear?…good work

    • Emily Rodriguez 3 years ago

      Ramy G i’m kinda thinking that she writes it facing her and then they just flip the video so that it faces us now

  • Chayito C. 3 years ago

    LOVE THE WAY YOU MAKE IT SUPER EASY TO COMPREHEND…THANK YOU SO MUCH NANCY.

  • Hugo Fernstrom 3 years ago

    implicit differentiation? pSSHSHSHSH!!

    • Hugo Fernstrom 3 years ago

      haha

  • Hadroug Ali 3 years ago

    This is more correct
    Y^2+x^2=36
    y = (36_x^2) under root
    Derivative of( 36_x^2) under root is
    (_2×)/2×root of (36_x^2)
    _×/root(36_x^2)

  • Kristian Norgren 3 years ago

    You are awsome!

  • brian christian 3 years ago

    My eyes only focus on her not on her notes. HAHAHAHA

  • Lil Ugly Dude 3 years ago

    how tf do u write backwards

  • un known 3 years ago

    You’re indeed a true hero. Please have more and more example solvings. Thanks very much, Nancy!

  • Audelicious 3 years ago

    Thanks nancy!

  • Christian Christian 3 years ago

    What about if it is written with respect to y? Means all that has x term will be multiplied by dx/dy?? Need help please

  • Sirine aibeche 3 years ago

    could you please do a video on how to find points of intersection between a tangent and a curve, im so lost…..

  • ApocalypsesDawn 3 years ago

    Hey Nancy what does 2x rhyme with 😘.

  • egoistaX 3 years ago

    she is so clever

  • Veronica S 3 years ago

    Thank you!!! Finally I understand implicit differentiation!

  • Jônathas Gouveia 3 years ago

    You actually can solve it without implicit diferentiation, look:

    First we need to isolate Y:

    x² + y² – 36 = 0
    x² – 36 = -y²
    sqrt(-x²+36) = y

    Then do the derivation normally:

    dy/dx = 1/2*sqrt(-x²+36) * -2x
    dy/dx = -2x/2*sqrt(-x²+36)

    Since sqrt(-x²+36) = y, we have:

    dy/dx = -2x/2y
    dy/dx = -x/y

    • Vincent Wong 3 years ago

      Implicit Differentiation is a short cut for solving multiple intermixed variables. Your way is fine for non-intermixed terms, and longer. Besides, there are more than 1 way to solve certain MATH problems.

  • Jalal Khan 3 years ago

    Great way

  • Chase Cieslar 3 years ago

    Not only is she writing left handed but she writing backwards too

  • JRH 3 years ago

    at 7:16 i got a little spooked

  • i sleep 3 years ago

    thankyou

  • Myrix Patricio 3 years ago

    Thank you so much. 😍 Your so Genius and Sooooo beautiful. 😍😍😍

  • Frog 3 years ago

    Saw this tuesday for the first time and panicked, read the whole chapter and had no clue. Just watched this for 14 minutes and it’s clear as day. Thank you so much!

  • Karen_ Kay 3 years ago

    God Bless You!!!! My calc teacher isHORRIBLE and this saved me

  • Sd Acr 3 years ago

    am I THE ONLY ONE who can’t see the pink written stuff?!

  • OluwaJoba Makindipe 3 years ago

    This video helped but would have been better if you did a problem that had a x^2y^2 in it

  • g man 3 years ago

    Hey Nancy pi how do I find the second derivative using the implicit differentiation?

    • g man 3 years ago

      Here’s the start of my question: xy+y^2=1; solve for y”

  • Kavin Karthik 3 years ago

    Sister pls do some videos on complex numbers and permutations and combinations. Your way of teaching is very good and understandable thanks for it.

  • Ted Cantrill 3 years ago

    Thanks the test is tomorrow and you just helped a great deal.

  • Marios I 3 years ago

    thank you so much you are the only who is thorough and clear enough. you helped me so much!

  • Alvi Khan 3 years ago

    Nancy you r beautiful and thank you. I want to know about vector

  • Gabriel Makenmuno 3 years ago

    Thank you so much Nancy you are making things a lot easier for me now. BTW you are so beautiful as well, I almost lost concentration by starring at you hehe. Watching all the way from the land down under (Papua New Guinea).

  • Stacy Yardley 3 years ago

    ❤❤❤❤❤❤❤❤❤❤❤

  • Christian Evans 3 years ago

    frustrates me that it appears as if she’s left-handed but righting backward right-to-left for the viewer. could so much skill really be possible? in need of a behind-the-scenes.

    • Cata C 3 years ago

      Christian Evans 99% sure that what she does is write on a transparent board from behind it just like anyone would and then she simply mirrors it when editing the video so that the writing is right

  • Teddy W.C harawa 3 years ago

    Nancy, You are a gem!! Are you born again? Bless you a Thousand times

  • Bomiti Audu 3 years ago

    very beautiful woman with brain thanks a lot

  • Ruwan Lakshitha 3 years ago

    Thank you so much!!

  • Fuzail Khan 3 years ago

    Wonderful Teaching🤩

  • Ngedikes Benedict 3 years ago

    I don’t know if this is a silly question…Are you writing in reverse? or on a mirror? I’m getting distracted with trying to figure out how you’re writing and not paying attention to the content.

  • Ansh kamra 3 years ago

    Your videos are just basics
    So kind of wastage of time, try covering some concepts for JEE exam

  • Mjd Ilast 3 years ago

    Great video 👍

  • Rohan Thomas 3 years ago

    This is super amazing. I was actually struggling in Implicit Differentiation.

  • justin tomas 3 years ago

    thanks nancy

  • Abdullahi Abdille 3 years ago

    Thank you Nancy so much, I had to stop the video and write this comment only to thank you before I finish watching the video. This was something very difficult for me to wrap my head around it.
    THANKS MILLIONS.
    YOU DO AMAZING TUTS.

  • Abdellah Mohammed 3 years ago

    watching your fantastic videos from Ethiopia

  • Chadwick Boateng 3 years ago

    Thanks madam

  • Charles Russell 3 years ago

    Warning! 13:29 “this looks really innocent.”

  • hamid raza 3 years ago

    Plz tell me what is derivative of y

  • Corie Salvi 3 years ago

    Are you writing backwards?

  • Michael Jetnikoff 3 years ago

    Hi,thanx,thee be incredible,now GOD BE BELOVING OF THEE,THY TRUTH BREATHES LIFE INTO LIFELOVE OF THE RELARTIVE TRUTH OF SOME SYSTEMS,SEE 3D,GRID IN LARGER 3D GRID,DFRNT AXES MEETING POINPARRICLE,THE PAIR 3D GRIDS,THART THE d/D,DIFUSN/DENSITHRUM OR FISDION/FUSION,OF EACH 3D GRID,WITH DFRNT RELARTIVE dt,d^2t,of 2 grids,as well as cenchienrum,functions dascribing trajectory of each axes meeting POINPARRICLE,both breathes in rhythm,or dissnanc,inflection exhaustion,into dot,dt=>,thus die,death of system,Pi best seen as dmtr of thick theory straight line rotarting 185-190,370 degree to ensure circle true,if plane dmtr rotartion flart,RELARTIVE smooth,but theoretical,as 3 dfrnt RELARTIVE,3 x 3D grids see in 11d,to 12d,but see axes as each dfrnt rartRARTIO RELARTIVE MAESURE system reliabilithrum,as tuning drum alters with thin,or thick artmaosphere,thick,low pitch,similar with thy functional wissum,breathing truth,Pi varium,inside,ARROOUNDING,scribe circle ⭕️ dmtr longest str line scribing circl,thanx,bliss, XAMBUNJILOM

  • Ken Toby 3 years ago

    Thank you

  • Light *4* Love 3 years ago

    9:09 NO. WAAAAAY.

    SO THATS why we don’t mess with the second y…. omg. *kaboom*

    • Yousef 3 years ago

      i cant tell if ur sarcastic but I don’t get this part at all help lol

    • ps200306 2 years ago

      @Yousef , she’s using the product rule to differentiate x²y. Remember the product rule is f'(g(x)h(x)) = g(x)h'(x) + g'(x)h(x). In other words, the first function times the derivative of the second, PLUS the derivative of the first function times the second function.

      So, with x²y the first function is x² and the second is y. (Remember that y is just shorthand for the function y(x)). So we have the first function times the derivative of the second: x²(dy/dx). PLUS the derivative of the first function times the second function: 2xy (note: no differentiation of the second function here).

      In total we have: (d/dx)x²y = x²(dy/dx) + 2xy.

  • Clifford Williams 3 years ago

    Example:
    Implicit differentiation of 3x^3 + 5y^2 = 15:

    3x^3 + 5y^2 = 15
    (The differentiation is implied)

  • Kate Collier 3 years ago

    You’re a really, really great teacher. Very clear

  • Clifford Williams 3 years ago

    @7:18 she stares into your soul…

  • Josh Thompson 3 years ago

    I’m doing Calculus online through WGU, and your videos have been a major game changer in how to understand this vs just reading about it. Thank you!

  • Kemin San 3 years ago

    The whole video i just watching that she writing in left hand in mirror form….😑
    And enable to understand any implecist. Stuff🙁

  • shiyakiisa S. 3 years ago

    I admit NancyPi’s math skills are superb…..BUT IS NO ONE GONNA SAY HOW AMAZING IT IS THAT SHE IS WRITING BACKWARDS AND FACING US???? THAT IS TRUE SKILL.

  • Joyto Roy 3 years ago

    Thank you. Helped me on the final

  • MyMusics101 3 years ago

    4:07 – Why do we “have to” use implicit differentiation here? Why can’t we get it inti the form “y = …” by subtracting x^2 from both sides, taking the square root of both sides (hmm, how would the +- be handled during the differentiation? We would possibly get two results, right?), then differentiate normally?

  • MyMusics101 3 years ago

    ~ 8:40 – The derivative of y with respect to y is one, but with respect to x it would be 0 (if it didn’t depend on x, that is).

  • عبدالله 3 years ago

    كيف تكتبين كذا اتمنى الرد 💙

    • D J 3 years ago

      عبدالله ما أتوقع انها تعرف تقرأ عربي، بس أكيد استخدمت لوحة شفافة للكتابة.

  • Marcus Po 3 years ago

    Can you teach me long division. Mamm

  • Brian C 3 years ago

    Nicely done! How about doing a video on Fourier Analysis?

    • Brian C 3 years ago

      Or bezier partial differential equations ? Thanks!

  • Gamer era 3 years ago

    Thank you nancy. For your help in learning the derivatives

  • Kalash Singh 3 years ago

    Nice explanation. Love you

  • Accent Light 3 years ago

    How can you not e understand Math, when a sexy & intelligent woman like Nancy is explaining it to you?

  • T G 3 years ago

    I wish I had this available when I was in college.

  • John Vandersall 3 years ago

    sugar britches i want you to balance my check book

  • Khaled AbuAjamieh 3 years ago

    you’re not a math teacher, you’re a model

  • Wadim Zeller 3 years ago

    4:11 You can in fact do it explicitly, its just easier to do it implicitly. Anyways good video!

  • JSG REACTS 3 years ago

    do you edit your own video?

  • Mike Jouhari 3 years ago

    Stunning smile!

  • Dominic Bouchier 3 years ago

    She sounds so bored. “So this is X negative = kill me now”. Explain how you’re more boring than a pure mathematics text book?

  • Ali Wahdat 3 years ago

    You should do a Netflix series

  • ankit mishra 3 years ago

    Beauty with brain

  • nothereforlong 3 years ago

    ❤️❤️❤️❤️🌹🌹🌹

  • CMDR Bobert 3 years ago

    This was incredibly helpful. Thank you so much for making this simpler.

  • brad titt 3 years ago

    Liked, very understandable

  • nithin ps 3 years ago

    So difficult to concentrate becoz she is too good looking

  • Jossi Ossa 3 years ago

    Nancy, are you doing this in a mirror?

  • Kennedy Ada 3 years ago

    Miss NancyPi writes backward with the left hand, amazing

  • Zahid Zaman 3 years ago

    She fine

  • K.k Ubana Bassey 3 years ago

    very beautiful and intelligent. if i proposed, will you accept me

  • Annie Marrie 3 years ago

    THANK YOU!!!

  • Ezeani Vitalis 3 years ago

    May God continue to bless you

  • Berzerka 3 years ago

    With me discovering this channel, I’m gonna pattern calculus easy. Mans gonna secure that B grade

    • matias calderon 3 years ago

      that B = BAG

  • be happy 3 years ago

    She speaks energylessly

  • Stanley Ngugi 3 years ago

    They say beautiful girls don’t understand math. They must have missed this Nancy

  • blitzblutz 3 years ago

    Hi Nancy!

  • Yunyan (Joy) ZHAO 3 years ago

    how can you right by left hand and it is a mirror reflection, omg good practice

  • Vicky Avila 3 years ago

    omgosh I’m cramming for my Calculus midterm. Why didn’t I find your channel earlier in the day! <3 thank you!

  • Giovanni P 3 years ago

    y^2 + x^2 = 36, how is the answer -x/y help? Interesting

  • Jonah DeleseLeuc 3 years ago

    When you have ” x^2 + y^2 = 36 ” why can’t you simplify this expression to “y = x+6 ” and “y = – x -6 “? Like can’t we just simplify and then differentiate?

  • Definable6IX1 3 years ago

    Can we use y’ instead of dy/dx?

  • Sami Roh 3 years ago

    just notice, how is she writing the opposite way lol?
    but what an explanation
    thank you so much

  • Emily Harkness 3 years ago

    Thank you so much!! I feel like I’ve made every mistake, but I get it now, thank you for such a clear and helpful video!

  • Chilyango Mwando 3 years ago

    hey Nancy I love you and I have some questions, for question 1 why not just put it in the form of y as y=(36-x^2)^1/2 and is your last name really pi or you just want to be irrational 😉

  • Hot Vodka 3 years ago

    WHY AM I WATCHING THESE MF ADS IF ITS NOT YOUR JOB

  • Vanessa Velásquez De León 3 years ago

    THANK YOU

  • Angel Manev 3 years ago

    thx woman

  • Rambo 3 years ago

    Your can write backwards cause your left handed. That’s the trick

  • Mithil Kadam 3 years ago

    Its so rare to see beaury with brains

  • SLPSY Ace 3 years ago

    Corona Virus screwed my cal1 class and this fr did help

  • Ali Al Blooshi 3 years ago

    Thank you very much!

  • SaltyGamer 3 years ago

    Now I’ll just watch it again so I actually understand what she’s saying…

  • jacob marsh 3 years ago

    thanks so much!

  • Alexander’s Adventures 3 years ago

    I really feel like we could use a blooper/outtake video from you.

  • Hannah 3 years ago

    How the heck do you write backwards so neatly

  • MinusTime 3 years ago

    I enjoy your videos and all but I wish you would write the dy/dx in a darker color than pink like purple or something else that will be easy to see.

  • QUIRAM QUIMOD 3 years ago

    Thank you

  • dinesh shaw 3 years ago

    Please diffrenceate both side
    this
    X^2+y^2=k^2

  • Amelia Abernathy 3 years ago

    Help!

    How do you solve

    y=x^2 / y^3

  • camilo El viejon 3 years ago

    Beauty miss

  • Fatma Ali 3 years ago

    why do you keep sighing like your being held at gunpoint to teach

  • Anurag Thakur 3 years ago

    Why can’t you rearrange a function like x²+y²=36 as y=sqrt(36-x²) and then use the chain rule by writing that as y=(36-x²)^0.5?
    Also I liked your video, it did help me.

    • Anurag Thakur 3 years ago

      Okay I tried it and it works, I guess it’s the same thing

  • Brooke McMoy McMoy 3 years ago

    Wooohoooo today is my last day of Calculus ever and I believe I will finish with an A :)))) thank you for your videos! Most math videos are so boring!

  • Bob 3 years ago

    u got me thru ap calc queen

  • Smit Chaudhari 3 years ago

    Who is watching this video in 2020

  • Aj Ramillano Siao 3 years ago

    How can you write in reverse that’s AMAZING

  • Jaihin Singh 3 years ago

    So, she’s writing from right to left. I really like her commitment

    • UrthOperator 3 years ago

      It’s just flipped, lmao

    • UrthOperator 3 years ago

      @s!CKman k

  • Ocin 3 years ago

    You’re so hot and sexy

  • Sangita Kakad 3 years ago

    Can you please share a video on how to solve this
    Xsquare + Y square ÷ X square – Y square = a ( a is constant)

  • pumpjockey02 3 years ago

    Great video.

  • Lachlan Campbell 3 years ago

    I’m going to always remember ‘it should set off your y detector!’ LOL funny but thanks for the reminding tool haha <3

  • Boba Universe 3 years ago

    Thank’s a lot, it helps better than the one with my mothertounge tho

  • Tristan MichaelRabie 3 years ago

    Are you writing everything in reverse on a glass plain that you’re filming through?

  • Topper's Point Indore 3 years ago

    Good

  • Casey Escobar 3 years ago

    why hasn’t anyone acknowledged the fact that Nancy is writing inside out

    • Google User 3 years ago

      its mirrored after

    • Archway Cinema 3 years ago

      @Google User I think he meant that she’s writing away from her body

    • Victor Collier 2 years ago

      Right, she’s writing to her right which would go away from her body. Then it’s flipped

    • Trevor Starr 2 years ago

      @Google User She’s writing right to left ..

    • Google User 2 years ago

      @Trevor Starr yes but if you mirror the image it becomes right to left

  • Mohamad Barakat 3 years ago

    I need help to find the general expression of X belongs to the vector field manifold which satisfies : [ d/dx + d/dy , X]=X

  • GARTH REID 3 years ago

    You could also use Partial Differentiation as a short cut for Implicit Differentiation

  • Redstone Clasher 3 years ago

    I’m not looking at what you are writing, just look’n at you

  • Brooke Volpi 3 years ago

    Thank you! I might pass AP calc now

  • Malhar Bhishma 3 years ago

    Can you please make a video on intense or some of the hard problems related to integration ??

  • Music Speedup 3 years ago

    great video

  • muhammad ayub 3 years ago

    Thank you dear Nancy 👍👍

  • Ramlal Gajoo 3 years ago

    Thanks Nancy
    You truly are a gifted mathematician
    God Bless You

  • Reetika Malhotra 3 years ago

    Ur videos r very helpful

  • Bender Bending Rodriguez 3 years ago

    I want to marry her.

  • Arnav Agarwal 3 years ago

    She’s beautiful tho, so now i kinda wanna study

  • Mr FLUFF 3 years ago

    5 mins and 48 seconds there’s a police siren

  • Poorva Khare 3 years ago

    When my teachers teach : Oh Calc is hard
    When you teach : tbh thats pretty easy
    Plus my teachers arent bad at teaching maybe i find it easy now just coz in re watching what i earlier learnt

  • WAG Productions 3 years ago

    This makes so much sense now… Thank you Nancy!

  • LantretzGaming 3 years ago

    You’re so cute

  • MN MATH Classes 3 years ago

    Nice

  • Kieran Brown 3 years ago

    You are very smart, and surprisingly nice to listen to… Thanks for this video it helped a lot helping me to start to understand what to do, also I never knew you were double jointed til I seen your pinky bend backwards at the start of this video. 😛

  • Kiara Carbajal 3 years ago

    Thanks Nancy!

  • Breeki Man 2 years ago

    what i really want to know is how does help me in life? when do i use this? or have i been right all along and postsecondary education is just a scam to steal your money, break your soul and erase your humanity in preparation for the professional world?

  • Ak sedha Concept Of Mathematics 2 years ago

    Right explanation

  • Dylan Rafferty 2 years ago

    These videos are awesome, I was so confused but this cleared it up better than the 3 hour lecture I was in! Thank you

  • Niko 2 years ago

    Nany I reallylike your vids i suscribed liked and hit the notification belll you make it look so easy

  • michael toby 2 years ago

    Love your explanations, very clear and concise, making math, especially calculus, easier and fun to learn! Much appreciated

  • Jean Claude Van Damme 2 years ago

    Thanks. I wish they would hire you to translate Pearson textbooks instead of the incompetent lizard people who eat there own feces and use Google translate 30x in a row before defining a theorm or anything important…

  • S 2 years ago

    thank you for smiling nancy 😀

  • Ert Rap 2 years ago

    am now a lecturer cos of you, thanks my tutor……NANCY

  • Kevin burns Burns 2 years ago

    I did a problem like this 23 years ago. I think it’s the same one I totally don’t know how to do it anymore. A co-worker and I had to figure out a hole size and I told him we could use a Bering to measure the hole size. He didn’t believe me at first. Them I drew a picture of the bearing sitting on top of the hole and said if we can get the height of the Bering we can get the hole size.

  • Kevin burns Burns 2 years ago

    He then was amazed and said oh ya I know how to do that!

  • Nqobile Zwane 2 years ago

    Thank you

  • matt menna 2 years ago

    This was a big help thanks prof pi

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