More Chain Rule (NancyPi)

90,189
Published on October 23, 2019 by

Support Nancy on Patreon: https://www.patreon.com/nancypi
Follow Nancy on Instagram: https://instagram.com/nancypi

The CHAIN RULE is one of the derivative rules. You need it to take the derivative when you have a function inside a function, or a "composite function". This video picks up at the end of the first chain rule video ("Chain Rule...How? When?" at https://youtu.be/H-ybCx8gt-8) and shows more examples of using the chain rule, as well as how to combine the chain rule with the product rule.

For an intro of how to take derivatives, jump to: https://youtu.be/QqF3i1pnyzU

4) EXPONENTIAL: for the example y = e^(3x), first take the derivative of the outside function (the exponential function, e). The derivative of the exponential function is just the exponential function itself. When writing the outside derivative, leave the inside function (3x) the same, so write e^(3x). Then by the chain rule, you multiply by the derivative of just the inner function (3x). Since the inside derivative is 3, the answer for the full derivative dy/dx is 3e^(3x).

5) NATURAL LOG example: To find the derivative of y = ln(5x), use the same steps as above to first take the outside derivative and then multiply by the inside derivative. 5x is inside the natural log. The outer function here is the natural log, ln. To take the derivative of the natural log of something, we write 1 over that something, so 1 over 5x. We leave the inside function alone here when writing the outside derivative, so we write 1/(5x). Remember that we're not done yet. We also need to multiply by the derivative of the inside function. The derivative of 5x is just 5, so our final simplified answer for dy/dx is 1/x.

6) SQUARE ROOT example: For this example, y = sqrt(x^2 + 1), the x^2 + 1 is under a square root. The square root is the outside, outer function. When you have a root of any kind, before you take the derivative, it's easiest to rewrite it in the form of a fractional power, so that you can use the POWER RULE when taking its derivative. The outside function here is then the 1/2 power, and the inside function is x^2 + 1. To take the derivative of the outside one-half power, we use the power rule to bring down the 1/2 power to the front and reduce the old 1/2 power by 1. We then multiply by the inside derivative, and after simplifying get a derivative of y' = x / sqrt(x^2 + 1).

Here I used Lagrange notation (y') for the derivative instead of the Liebniz notation from before (dy/dx). To learn the POWER RULE, jump to my video at: https://youtu.be/TgIl15Nlg_U

7) CHAIN RULE WITH THE PRODUCT RULE: Sometimes you might need to use the chain rule combined with the product rule. How do you know whether to apply the chain rule first, or the product rule first? In this example, y = x^3 (2x - 5)^4, although the second factor here will need the chain rule for its derivative, overall in the biggest view of this function, we have a product of two factors. So we will use the product rule first here on the two factors, and then use the chain rule inside the product rule. However, for an example like ln[x^3 (2x-5)^4)], you would need to apply the chain rule first on the ln form, and then since your inside function is a product, you would need the product rule after that. Basically, the first thing you'll do is whatever you need to use to handle the outermost form of your function.

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

Editor: Miriam Nielsen of zentouro

Category

Advertise here. Telegram, Signal - Call/message +1-868-308-4028.

• First

• Thanks

• shes back

• Good job at explaining all at one place. Thanks for sharing the knowledge!!
Peace ✌️!!

• Oh my god, perfect timing. Not only did I just find your channel, but we are literally learning the chain rule this week. haha

Your videos have been instrumental in my understanding of differential calc. Thank you so much!

• Beautiful

• Yay, Nancy’s back!

• Thank you, god!

• YAY MATH

• Alex Minsky is she now

• @SXCRΞDツ Merely a brief concession, I assure you.

• شكرا

• Nice

• Welcome back!

• You’re really one of the best math teachers I’ve ever seen 😍😍 watched so many of your videos to refresh my knowledge and I have no words for how much I appreciate you 😘😘 I wish I had your channel to watch when I was in school so I could have you as my 2nd teacher. You are THAT amazing!! I truly love you with all of my heart ❤️❤️

So curious about how your videos are filmed/made when you write 😚😚 is that a top secret or is it possible to reveal that secret someday? 😍

You are sooooo best!!! ⭐️⭐️⭐️⭐️⭐️ (5/5 stars!) and a bonus: heart with stars -> 💖

• I have to get an A on this next math test 😭🤯

• Vsk good luck! Keep positive and study hard. Don’t wait til last minute to study either.

• @Zee Ali thank you and goood luck to you too.

• @Zee Ali how did it go?

• Vaiebhav Patil really bad. Almost makes me wanna give up on this next test… but I have to do extremely good 😭😭

• @GargaGaming
Too late for me, unfortunately. I’m gonna have to pull an all-nighter to finish up my homework and I will be praying hardcore for an A on the test tomorrow. At least I understand nearly all of the concepts about derivatives thus far (the exception is related rates).

• Nancy is my spirit animal

• Awesome, my Derivatives test is Monday. Perfect timing!

• Same here

• @LorD TwisT I predict we will both get A’s.

• May the derivative of your grades be ever positive.

• Mine is on Tuesday. Let’s do well brothers.

• DV I would prefer it be a gradient of zero. maximum of course

• wow i’m too old to remember this. but i do love her ethic

• Yeah, me too. I love her “ethic”.

• NANI SHES BACK

• Thank you Nancy ❤ keep on

• Good explanation but your and my party tricks .. are in separate galaxies far far away 😉

• youre the only math teacher I actually learn something from, thank you for coming back and saving my grades<3

• I think there is another easier way that is multiple ln both side because in ln properties you can bring the square behind ln for example ln(3x)^2 =2ln(3x)

• I needed this. No cap.

• Hey Nancy thanks for helping me understand chain rule now, you’re the best and super cute ❤❤❤

• Queen uploaded 😤

• Test tomorrow im sad

• Welcome back!!!

• Yes! More chain rule…definitely need it.

• Cool, you’re back!
I’m gonna share this new video to my students. Thanks

• Not going to lie I thought you died

• You make feel ready to take on the North Shore Mathalthes for the state title

• Oh Wow are you staring to make new content again?

• good refresher

• Welcome back queen of math

• Holy shit shes back

• Bruh first upload in 7 months nancy, what happened?

• Hi Nancy, I do find math interesting, but I get bored and sleepy quick, especially when I am studying math topics. (Failing advanced algebra.)

I guess my question is how do you keep yourself motivated and energetic to keep studying math?

Like how do you keep math exciting? How do you break down mathematical topics?

You’re probably thinking that this is a stupid question, but I need advice. Please help.

• Welcome back Nancy. Hope all is well.

• So stresfull for my midterm..

• Someone paid attention ✌

• Integration by parts.

• Wow how did you know I had an exam tomorrow on this lol

• bless your timing with this video 😂🙌

• now do chain rule for partial derivatives

• She lives!!!

• Awesome

• Where have you been? I need your videos. Perfect timing on this one, literally just watched all your others on derivatives last night. Should do videos with loads of examples, would pay for it tbh

• Titans Nancy, but why the derivative of e is e ?

• YAY! The internet’s best math pedagogue has returned! Welcome back!

• Pedagogue; A teacher, especially a strict or pedantic one.

• Jeremiah Diaz The word is used as a term of art among teachers to refer to someone who is skilled and experienced in that field. Remember that dictionaries don’t always tell you the whole story.

• It’s been a long time…..

• NANCY !! Its so great to see you back. I literally have a test tomorrow involving chain rule LOLOL

• Welcome back and I hope you all time number one

• Hii Nancy! It’s been a while 😊

• Glad you’re back!!

• Hey NancyPi may you please add Calculus 2 content video. Also perhaps Physicis kinematics and etc. Thank you

• Do L’Hôpital’s rule next please

• More NancyPi

• Nearly cried when I saw you’re back…..jk but seriously glad you’re back 😄

• Welcome back nancy

• QUEEN HAS RETURNED

• Nancy has appeared. 6 more weeks of winter

• Very nice video! Thanks Nancy!
Just a quick note about the result in 3:49
ln(k*x) = ln(k) + ln(x) (property of logs)
d/dx(ln(kx)) = 0 + 1/x = 1/x (k is a constant)
When I went through this result I found it very interesting, so thanks a lot for making me more curious!

• Keep uploading please I really enjoy these videos to help with math. For those who are looking for an alternative to Nancy during inactivity is professor Leonard and Michel van biezen. They’re both equally good in teaching.

• Where have you been? Anyway, I’m glad you are back.

• I missed u !

• Hola Nancy, glad to see you and welcome back. Even though I do not need any more algebra classes it is a pleasure to see you at it, again. Just so you know, I took advantage of your classes in the past, there were very helpful. Thank you.

• Glad you’re back!!😭 thanks so much for making calculus easier to understand! Hope to see you do some higher level calc (2/3) and diff eq videos in the future!

• thank you for the update. You’re the best very clear explanation I also really love you so much welcome back!

• Great! Nancy’s come back! I’m really happy!

• I passed my calc exam but in about a year I would probably take linear algebra- hope you get some videos on it by then lol

• Welcome back. 🙂🙏

• Holy cow she’s back!

• My lord and savior is here

• Nancy pi is my crush.

• Nancy is very good at it, and I recently followed her videos of Mathematics. I think and I am convinced that a complete video course of “Mathematical Analysis” 1 must start for many interested in this discipline. I hope you follow my simple advice soon Nancy and good work.

• When my grades needed her most, she vanished

• @Daniel Maclaren That’s hilarious.

• Bruh lol

• The year is 2020, the 31st of March. NancyPi came back, but disappeared 5 months ago, and still missing.

• Hahahah

• welcome back! 😀

• You’re back!!!

• Love it!

• Omg, Tyler DeWitt!
Sir you are the greatest Chemistry and Biology teacher!

• Please do chemical kinetics, electrochemistry videos

• I love you 😘 Nancy

• Is this your first video in about a year? Glad to see you back!

• Ur center of my universe

• lets go calculus

• Nancy’s back.

• I wish you were my math teacher.

• Omg I literally failed my midterm today because I was lost on the chain rule. You must’ve heard my prayers. Queen.

• Your videos really are so helpful, thanks a million 🤙🏼

• Awesome!!

• Nancy, never replied after I sent you those worksheets😪

• Glad to see you again.

• After 7 months, she’s back.

• 2019 still love her

• Great refresher on this topic thanks Nancy!

• I love the awkward math humor XD

• where

• I love it as well haha, it’s like semi-enthusiasm

• @Kshitish Sorte it’s where she takes the derivative of ln 5x

• @Raanoooshh can you please give the time stamp

• Kshitish Sorte 3:54

• No love for Trig Inverse derivatives??

• @NancyPi for the last question which is the ln function you could have also used the laws of logarithms to simplify then take the derivative

• Just looking for help and found your video :)!

• Nice work nancy

• Welcome Back Babe! 😘😘

• What a surprise. Welcome back.

• Story problems with volume and integrals? Partial fractions? Calc2+? I love and need u 😂

• How do write like that

• 😀❤️🥰

• genial,excelente

• I’d totally buy a NancyPi shirt, just saying.

• Just send her money you worthless rat

• Brandon Fresh damn, who hurt you?

• @Brandon Fresh what the? How rude

• @Brandon Fresh Onlyfans xD

• Welcome back:)

• Yay! NancyPi is back!

• ♥️ u from India 🇮🇳

• Nays

• Do Linear Algebra videos

• 1:22 having the video speedup for “e” by itself. lol ! Also welcome back. 🙂

• Also damn she uploaded after 7 months damn

• yay welcome back! we missed ya

• My test over this was yesterday!!! Not mad, just a coincidence lol

• Is the chain rule the one that requires the mother function? lol

• If you had uploaded it before two days,…………..
My exam 😟😟😟

• thanks for coming back! please never leave us again 😅😅😅

• Just noticed you’re no longer an MIT *student*. Congatulations grad!

• Nice to see you making more videos Nancy. I thought you’d stopped.

• qt3.14

• Glad to see you are active again ….. Hopeful again

• Welcome back Nancy. You’re awesome

• The return of the math queen!

• Yes!!!!!!!!!! She’s back

• Have never seen this video. Do not know if she’s a clone or not, but she does know math. Thank you.

• She looks a little different. I’m suspicious.

• Happy to see you back nancy please do video’s on 3D Geometry

• We need you!

• Good work Pi.

• Finally, A new video after so many months.
It felt like a decade. Lol
😁😁😁😁

• u=f(x) , y=e ^ u , u’=df/dx =>
dy/dx= u’.e^u

And the same we can do for others

• You make it all seem so simple. If I learn from you then people will think I am smart. That works for me 😊

• Good

• Our Hero is back to the rescue … she saved me during the dark days of Calculus, glad those days are over haha…thank you

• Wow, this was a birthday present I wasn’t expecting. Thanks!

• Thought she was done with YouTube and getting rich on Wall St

• Sorry I cant count that high

• Please do discrete math videos

• I just subbed yesterday and was surprised to see an upload

• I am in love 😍

• Thanks for the videos Nancy! You’ve carried me through Algebra 2 so far this semester! Keep doing what you keep doing best!

• Thanks! 🙂

• Please don’t go Nancy D;

• Nooo MY EXAM WAS TODAY!! I NEEDED THIS LAST NIGHT 😭

• Please make more videos 🙂 I’m a engineering student and you help me stay ahead in Calculus 1 w/ analytical geometry

• Long time no see. Welcome back!
Now how about some double and triple integrals for calculating volume of solids bounded by some awkward functions? 🙂

• Excellent, you explained it till where I get it. Thanks Nancy Pi

• Could you do related rates

• I don’t like math but I did like your video🙂

• Welcome back…

• I need you in my Life

• Welcome

• Welcome back. You are an actual life-saver, just so you know.

• Why, did your teacher say you literally couldn’t do math to save your life and then hold you at gunpoint?

• I am glad to know you are back with interesting math topics. Can you explain some Physics problems like equations of motion with the help of graph? PLEASE . PLEASE.

• She’s still hot.

• 🤦

• Imagine sexualizing and ultimately making the person that carried your math grade feel uncomfortable?! Couldn’t be me

• @Tuan Pham how do u know she carried his or her grade?

• Shes back

• im distracted by her eyes

• You’re back!!! Your videos helped me through highschool now I’m in college and I still need it😂 thanks Nancy!

• she just makes it easy to undersand…. be blessed

• Better than EDDIE WOO!!!!

• 👍🏿👍🏿👍🏿👍🏿

• posted this at the right time omg yezz

• Crazy idea…Lets always submit math problems: just to bring her to a daily upload rate

• Hurray! NancyPi is back.

• Hi! Can you make a video about the application of indefinite integrals?

• OMG

• Keep going please…i am passing math because of you

• You’re a great teacher! Thank you for this video, can you also go over Rates and Absolute maxima / minima in a closed interval. And critical points ? Thanks keep doing these you are actually educating us unlike our dry ass professors at school

• thanks

• Nancy, you are super smart and super pretty, I’m glad to see you back!

• We went complex number sister

• Nancy finally came back!

• Hit like before the ad even finished playing… NancyPi never lets me down…

• I was just thinking about her…and here she is 😅 also this is the exactly what i needed help with wow…

• Is she cute or funny? Im confused 😅

• she’s back

• I don’t really care about homework. I just wanna see her beauty.

• welcome back!

• Thank you so much ♥️ love your videos

• Ya still got it, so beautiful. Yes i do mean your wonderful brain.
Your beautiful to very
Beautiful.

• The inside function my teacher says intestines haha

• wow. a gift from god. my math test is today and this video just came out

• Nancy where have you been, i’ve been failing calc 2

• It’s like she knows that I am having a calculus test today on derivatives lol THANKS!

• Half of us haven’t taken a calc class in 2-3 years but we still support you 😂😂!

• Where were you when I needed you the most?!! just kidding. am happy that youre back!!!

• She is fire!!!! I love u!!! thanks for getting back at it gorgeous!!!! GO NANCY!!!! #NancyPi

• gosh 7 months have passed. I hope you are well but i would so love to see regular videos from you if you have the time.

• Comments are back.

• please go on cuz i need u !

• hi nancy .. long time no see..
but it’s good to have you<3 back

• When it comes to math, I need all the explanations I can get, and you’re the best explainer there is. I failed every math class I ever took, in high school and college. After wearing out my teachers, tutors would try, I wore them out too – and not just a few. Nobody could get through to me. It was very depressing. Then you came along, and I’m actually understanding what you’re saying. Mr. Hopeless is finally learning!
By the way, I’m way past needing math for school or work, but I just hate to let anything beat me. Thanks for coming back, you’re the gift that keeps on giving.

• You “hate” let anything beat you but you were happy to let it beat you through the whole of your education?

• @Pruke You’re putting words in my mouth. I never said I was happy to let it beat me. Go away, you’re not being helpful.

• @Johnny Sparkleface “but I just hate to let anything beat me” its literally a quote lol

• Nice content and I do have tons of stuff on Chain rule so if you are interested you can check me out

• What a great party trick.

• Welcome back Nancyyyy

• I dont even have calculus anymore but I still watch your videos. You’re definitely the best at explaining it to me like im a monkey (i am a monkey so i really appreciate it)

• yaaaay she’s back.

• Your editing skill is incredible. I would love to see you making videos about matrices and differential equations

• Can I integrate you into my life ?

• Lmfao!!!

• 😂😂😂

• She is a non integrable function

• Unknown User Do you know what her +c is? If you weren’t there at t=0, then it will be difficult

• I’d love to see linear algebra, multivariate calculus stuff! 😃

• Hello

• Welcome back Ms Nancy and Thanks for the great video

• I don’t know what your video is about, but I sure enjoy watching you explain your subject.

• Let a be a constant. Then: {ln(ax)}’ = {ln(a) + ln(x)}’ = {ln(a)}’ + {ln(x)}’ = 0 + {ln(x)}’ = 0 + 1/x = 1/x Q.E.D.

• Please don’t let this be the only video for another year.

• Just like a high-class tutor, you have to pay to see the full content.

• I was not familiar with derivatives when they (teachers, books etc.) wrote them like d/dx because you almost never use that expresion. It would be nice if you wrote it like that before you actually derivate. Just helping the ones just learning them. Thanks btw you helped me a lot in HS. I´m studying physics now

(freshman) and your videos are still very useful.

• Can you do a video about the Intermediate Value Theorem?

• Hey Nancy..good to see ya back!..can u do more subjects like physics and chemistry concept videos??
It will be amazing!

• We want ODE’s and PDE’s please.

• Hey Nancy – great video, and great to see you back!

• Tell me you are not going to disappear AGAIN .

• Nice from India

• welcome back

• Can you do some more intense chain rule problems?? Like with trig functions and how to find the derivative of a trig function at a point.

• Excuse me..can you show me the program that you use please ..

• That last derivative screams logarithmic differentiation.

• Waaw Nancy nice to be back !!!!!!!!!!¡!

• I love you Nancy

• she is back

• I’m genuinely so happy that she’s back

• Long time no see

• Do tuff problems

• Well, I’m seduced.

• Thanks Nancy. You are excellent teacher.

• My calc test is after 3 hours and u saved my life, ty

• Gosh Nancy, u still hot.

• This timing is impeccable. Literally taking an exam tomorrow.

• If she had become my college teacher the student attendence will rise to 200%

• Hey, heres a “fun party drug” . If you take the derivative of e ^( ax ), and do it again, you get a^(2) e ^ (ax). So .. if a = i, or sqrt(-1) then f”'(x) = ‘f(x) . thats the wave equation! It describes an ideal spring or pendulum! do a shot! You are ready for FFT and radar!

• That should be f ‘ ‘ (x) = -f(x)

• I miss you Ms.Nancy I begun calculus at University and I feel like an utter dunce.

• Could you do some stuff on sequences and series? Probably the most I’ve ever been confused in cal.

• Please🤗 add a video on “Derivatives of Functions in Parametric Forms”in your derivatives playlist.That’s too being incomplete seems to be very rude 😒.I hope you will.😃

• WHAATTT! STILL SEARCHING YOUTUBE FOR MATHS HELP, ARE THE VIDOES FROM 2006 REALLY HELPING….. this is the shit i have to deal with on daily bases!!

• i wish i have access to this channel several years ago. now i am already junior or senior level in college and only grad level math can help me.

• can you make a video on how to get the inverse of a matrix….?

• For the derivative of y=ln(5x), you could have used properties of logarithms as ln(5)+ln(x) first and then take the derivative, which is y’=1/x.

• Hi NancyPi, thanks for your videos. I need a sol. Of an eq.
Could you find the value of X please in this eq. : sqrt(5-4x^2+8x)+sqrt(8x-4x^2)=9-8x+4x^2

• Good to see you are back. You looks like Elve princess this time.

• Why do not write the most hard lesssons and formulas in calculus

• Thank you this really helped!🙏 Can you teach how to foil?

• shes between Angelina Jolie and Jennifer Connelly

• I think she is genuine, her own person. I would love to see Angelina and Jennifer solve these issues own their own. Would make for great content. Yes, Nancy is pretty and has a beautiful voice but I would rather brains over beauty any day of the week. I even ask Nancy if she was married before. I should not have done that.

• like Elisa ‘Dushku

• IN THE SHOP SO TRUE HATS OFF TO HER

• yessir she’s back!

• Is she honestly writing mirrorized?

• Thanks for your videos! Much appreciated!
What if you have a negative exponent, and higher exponents, for example:
Log base 2 (x^4 + 3^-3x^5^x^3) ?

• You literally helped me graduate so I don’t even take math in college nor do I like math AT ALL but I still watch your videos. You’re an angel!!

• Venus Zambrana Nancypi doesn’t just talk to anyone. You must be someone of advantage to her.

• Can you do a video on related rates PLEAAASE

• Your explanation is very clear 🥰❤️

• What are you doing these days Nancy ? I watched you 5 years back on the other channel…. you were in MIT at the time.

• Your videos are very helpful to me mam and you are so cute💓💓💓💓💓

• Great to see you back!!

• Why is 3x the “inside” to me it looks like a power rule

• Because it’s not a function raised to some power. For example, x^3 is the function x to the third power. However, e^3x is the constant, e, raised to a function. You can’t just power rule the e because it’s a constant, not a function. The power rule works when you have a function raised to a power, and by that definition alone, you can’t power rule a constant.

• EtoVito okay, that made sense to me. Thank you for helping me understand why it’s not a power rule.

• Just when life begins to look bleak, NancyPi returns. Missed you Nancy.

• Do how to solve quadratics and linear equations when they’re together

• NancyPi is smart!

It could have turned out different; But it didn’t!

• Please upload more calc! You are a life saver!

• What happened to the 8x cubed when simplifying the last function?

• Hello and thank you, Nancy. I’m new to derivative and the chain rule so this helped me a lot!
subbed and looking forward to future videos! Cheers!

• Oh you look so wawawawa 😍😍😍

• I think we need a relative rates video

• Why the long break? Post more please.

• On “y = e^3x” why is e the outside function and 3x the inside function? I would have thought it would be the other way around.
For example, in your intro video you had (3x +1)^7 or something similar, and in that case the ^7 was the outside function.
Actually, why is e a function at all? I thought it was just an irrational number like π.

• Nancy, you’re a beauty and a legend in theYouTube math world

• Please do a video on antiderivative (:

• hello Nancy i’m a new suscriber to your channel actually your videos really help me thanks for making such kinda videos but i need to ask you about the derivative of the last function ln can you please do it for me I’ve tried but I don’t know if it is correct or wrong

• Hello 🙂

ur vids helped me with my a levels 🙂
now im in uni 🙂
doing comp science 🙂
struggling with discrete math 🙂
please do discrete math 🙂
thank you 🙂

🙂

• WELCOME BACK NANCY!!! THE GENIUS IS BACK……THANKS FOR YOUR HELPS!!!!!!

• Party tricks!

• Just when my calculus lecturer started talking gibberish, the youtube algorithm delivered to a frustrated me, a piece of NancyPi. Thank you for your work, I can already see an A in this class. (Recently Subbed)

• i am badly stuck in laplace transforms.i have my exam on coming saturday.kindly suggest me something

• i am EE UG here in PK

• Welcome back angel 💕🌹😍

• Could you start doing videos on Multivariate calculus… i need halpp

• Thanks so much I’m doing maths course part time. Your videos is most useful !

• yesss beautiful!! .. just have to say it

• PLEASE!!!Do you write with right or left hand…

• upload more videos on math we need your help

• Hey, Nancy, could you please do a video on how to convert from standard form to vertex form and vertex form to standard form? My math teacher sucks you are my only hope to pass math!!

• I know how you are writing backwards, you are using a mirror and a green screen. Welcome!!

• I understand everything Nancy teaches. She’s one of the best math tutors. Thank you Nancy

• what the app or software you use ?

• I owe you my life….

• Pls do video on multiple integrals

• Calc exam tomorrow and your videos have been a live saver! I swear the last three weeks of lecture haven’t even skimmed the surface of what they want us to do

• Helping me review my differentiation and integration for probability class. There is fun Fun FUN beyond calculus XD

• U are so pretty and smart. Marry me . Love from Australia 🥰

• A few hours to my test and I’m here for rescue!

• Actually my exam! ..it almost killed me! I only had one problem to apply the quotient rule and it had more intergration!

• 7:15 Nancy does the power -1/2 go back to the root? I do understand when it is 1/2, so may I kindly get clarification on that, please!

• NancyPi is the best creator for Mathematics knowledges. I actually created my channel called “Hungry Minds” to even more show important Math Basics. Come check it out and I will always follow back.

• Lord forgive me

• Where have you been? Your videos have been sorely missed.

• Love your math video. My math suck. But your video is really helpful

• if all the subject were being teach like this i would have not go to the university for engineering haha….

• It’s hard to concentrate on math when someone like her😍 is teaching

• Tharki to math parhta ha ya tharak jharta ha hahahhaah😁

• Well if all teachers looked as good looking and intelligent as her? Then we would have straight A students in every classroom!

• Hey can you do a video on Mathematical Logic?

• Conic sections please

• Does anyone know how she films these videos. It looks like she is writing backwards on the screen, what exactly is she even writing on? How does she create this effect and what is the technique behind it? I’ve never seen anything like this before and it’s just purely fascinating.

• Hi,free,here,XAMichael

• Oh my God I just liked math for the first time in my life because of U…… Oh my God
where were all this time ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

• “wait what?… this is awkward”

• I already know how to do this you see

• I am watching you during my actual math classes.

• I just wanna know, what happened to the ^4 in the 3x^2 (2x-5)^4 after simplifying?

• I was wondering the same thing. Did you get an answer?

• I watched a few videos wondering how hard it was to doing everything writing backwards. Then I realized you were a lefty and now I wonder if is actually easier than writing normally for you.

• Thanks bubbie

• y=x

tan45

• It’s a fun party trick. Thanks, got it!

• Hello Di[ Sister], please make video on Permutations, Combinations and Probability.. Please please 🙏🏿🙏🏿🙏🏿

• Can someone tell me what this math is used for? Like in real life besides becoming a teacher! Millions of kids learning this crap to never be used. Waste of time

• lmao have this tmr.. great

• Thanks for the easy A! Couldn’t have done it without you.

• Hey Nancy can you do a video of the derivative of equality please

• Came in for math, stayed for Nancypants 🙂

• i love you even more <333333

• Hehehe my finals is tomorrow. It’s already 1pm, I just started reviewing for Calc 1. Wish me luck! haha

• Dranoc dude literally same except it’s 9pm for me too much t minus 12 hours….

• Integrals pls

• Please make videos on JEE Advanced exam of India 🇮🇳.

• YOU are BEAUTIFUL! Rudi.

• please marry with me 🙂 i love youuuuu 🙂

• Si tienes dos rectas formando un ángulo x
Y sabes todos los valores de las rectas que posibilidad hay de que encuentres el valor del ángulo sin acudir a las funciones trigonométricas

• Can you show how to pass PWC numerical test plz

• More Nancy! More!

• I’ve never known quite how to respond to your videos. Sometimes, it seems like you’re a person who doesn’t like math,… teaching math? I don’t feel much inspiration, at least for math, watching your videos. The impression I get watching your videos is that math is this boring chore we have to do to get through school. I suppose some of us are more actors, actresses, entertainers… and even if anyone agrees with my characterization of your videos, I’m sure there are many people who do see math as a boring chore,… which is often necessary to get through school. Although perhaps there are areas of math in which you’ve done research or otherwise studied extensively because you’re truly interested in them. If there is such math, perhaps you could share that with us.

• Doubts just a british thing?

• She looks like Billie Eilish

• Hey NancyPi, can you show how math solves real life problems? For example, how math helps to fly spaceship from earth to the moon or Mars?

• pleasee show to useee completing the squareee… 8x^3 + 9x^2 + 5s + 4 hope u can help nancyyyyy <3

• So glad to see here in a new video………, but where are you in 2020?

• Hello ..u make math so simple. .it’s very easy to understand the way u represent. ..thanks a lot for helping us 😊..god bless you

• Hi Nancy This is poem for you.
Nancy Pi is the apple of my eye
When I see you write backward
all I could think about is us being lovebirds
my dearest nancy
you help me
solve problems algebraically
teaching me math every day
please never take my nancy away
Carl Azuz, hes for history
But nancy is the one for me

• omg this is so moving

• i cried reading this..so touching 😭

• she ain’t writing backwards

• @Dr Riff the image is reversed!

• @المهاجر التونسي correct, she’s writing on a piece of glass, with a camera on the other side of it, facing her, then when the video is finished its flipped horizontally (reversed)

• Hi Nancy thank you for this tutorial😊😍

• Chain rule with complex quotient rule??

• Hola

• Insane how the writing is so neat!

• Gotta love her “concentration face” when she’s writing x,)

• Yes it’s cute especially because she’s like mumbling while doing it 😁

• can somone explain me how she do in 10:17 the y’= x^2 (2x-5)^3 [8x+3(2x-5)]

• God i hate math ,but god i love this instructor. She makes math way less painful.

• Do you have a beauty channel too

• thanks I love u شكرا لاسلوبك الشيق انا احببتك واحببت شرحك

• Nancy just found you again. Love your videos. Do you think you could tech some simpler math like basic algebra and geometry? Then if your videos were then ordered from simplest to most advanced someone could teach themselves.

• 10:28 i don’t understand why or how did you get x squared and how you get the (2x-5)cube? can you help me out? ate Nancy?

• I have lots of confusion

• She should sell shirts with her name/logo on them… backward.

• Nancy, will you be offering lessons on Statistics? And btw, thanks for the lessons you’ve been posting. My math skills have gotten a bit rusty over the years and I considered taking classes but I think I will only need to watch this channel to brush up. Take care.

• NANCYS SO HOT!

• God I love 21st century, I can attend to a math class thought by a supermodel DOES IT GET ANY BETTER THAN THAT?

• M also math teacher ,pls help how to use technology for teaching

• I thought it was the “Pantene” ad or something.

• pls come back 🙁 even if you dont fell you have math videos to post, vlog or do a QandA! you have a great personality

• U r very cute ….💓💓💓

• why looks tired .

• I got (14x – 15)/[x(2x – 5)] for the last problem. Lots of nice simplification.

• Hi guys am a new channel focused on explaining math and eventually physics concepts. Check me out

• You should do stats and mechanics as well

• thank you so much! I’ve been doing calculus homework all day and did not get this until just now!

• Make videos more often!

• ❤️🇨🇦🍄🌹

• I’m currently studying for becoming a math teacher and I just discovered your channel. I love the way you’re explaining things ! I hope I’ll be able to help understanding as good as what you’re doing ! Cheers from France

• This is super helpful ! Can you make ones for Relations and functions, Straight lines?

• Hi can you please do a video on Matrices? Preferably the Identity using aij please and thank you!

• please keep making videos they are great. especially for math students. it’s really helpful

• Waiting for next one

• Perfect teacher u make it look so easy thanks ..it’s help me a lot

• Hello Nancy,

I hope that you’re doing well. Being honest, I’d like to begin by saying that I clicked on the first video that I saw of you, “Logarithms… How?”, because of your physical beauty. However, during that video, I realized that you were much more than just looks, as you constantly not only showed that you’re intelligent by comprehending complex math topics, but you displayed excellent techniques of teaching touched and intertwined with the virtue of patience and tranquility. Then, as that video was reaching its final moments, I discovered that your voice brought me relaxation in a profound way.

Before I go to sleep, and before I even knew about you, I used to see other ASMR channels, many of which I still see every now and then. But lately, I’m constantly listening to your videos, just listening not watching. I already went through many math courses during college, and I’d like to say that I never really had a lot of trouble with this subject. Sincerely, I hope that you reach all of your goals, and that you find the right human habits that will make you happy every day of your life.

Now, the real reason of this comment is to invite you, or to perhaps, convince you of considering trying/starting an ASMR channel. You already have 200K+ subscribers, and I’ve read in other of your videos comments from other people that also have enjoyed your voice, expressing that they were delighted with your voice. Obviously, it’s an inherent talent, because you weren’t trying to do ASMR. Why not take advantage of this other talent that you have? I don’t have to tell you about numbers, as you know the subject impressively well, but you could be making passive/main income from an ASMR Youtube Channel.

The main channels that I visit are ASMR Darling (2.5M+ subscribers) and Gentle Whispering ASMR (1.8M subscribers), maybe you could take a look to get an idea, and even though you haven’t even tried ASMRing, I find myself constantly choosing your soothing videos over theirs. This is just an invitation, and wishful thinking of myself, probably being selfish as well, but I just wanted to let you know all of this.

Thank your producing these videos, and hopefully, we all get to see and hear more of you. This is the last video that I’ve heard, and now I have to repeat them all, since you’ve been away for a while.

• Actually you shouldn’t be teaching mathematics.because you are too gorgeous to be a teacher and I can’t focus anything but you in your videos.

• Video on Laplace Transform

• Thanks a lot, Nancy you are best

• Nancy, I really like you!
Hit me up at (mobile phone, or Watssapp number) – Log 2×10 . 1/16^35 x 3√16 𝞹^3

• Although you aren’t good at explaining, you are VERY captivating AND SMART woman, but unfortunaly, as i said, you lack the “thing” that a great teacher have. If you find “that” i will love to learn from you whatever i can.

• She isn’t lefty ………..

.
.

• I NEED HELP. I’m so stuck with differentiating angles like its sometimes you have to first differentiate what before then the trignometric function then the power then the angle like what is happening. Pls explain it to me

• At 7:10, perhaps we’re MATHSochists

• Lady… Thanks for your help and the video you spread to educate others, I hope you have plans to make videos about Static and Probability theories

• Me to myself: How much you sure you gonna pass the test?
Also Me: 07:16

• is this mathbff? if so ive watched her for years!

• Oh nooo our hero has left us!

• Ilove you Nancy

• You beautiful girl 💑💏

• Do you want to be boyfriend please thanks 🙏

• Nancy, what was your math study routine?

• I want to make love with you Nancy

• Absolutely amazing! Thank you for all you do. God bless

• Beautiful Nancy Pi !

• can you do a video on rational functions

• The “clean it up part” was what I needed help with 🙁 MyMathLab will not except dirty answers, but thank you for the math help.

• Missed you Nancy..

• @Rumi’s World hehehe.. I’ll definitely do!

• i know how u write backwards

• Will you be doing differential equations?

• You just saved my ass on a test THANK YOU

• You just disappeared 😠😠😠😭

• “‘Doubts'” if you are British. As having lived in the UK since I was born and being raised in a family of predominantly white British people, I can confirm that this is absoloutely true.

• @Jo Stokell that’s not the argument.

• @jj3ffries what argument, I’m genuinely confused?

• @Jo Stokell it’s a joke about how British people always seem to teach maths differently.

• @jj3ffries I dont think it is, she talking about people having questions or “doubts” if british, saying british people say doubts rather than questions. I am british, I’m just intrigued about whether this isnt something common in the rest of the world.

• @Jo Stokell apparently not 😂

• This channel is excellent. I guess you are a busy young lady but you should definitely put out more videos. This has been the greatest way to brush up my calculus.

• Darling
How do I create a video clip like the clip above

• Candice owens sent me
😛

• Nancy, is it possible to take the limit of a question? I understand that the Constitution (US) was done Euclidean style, & I’m tired of these god damn seatbelts. Why tf’ is this law?

• Are you single? 😚

• You helped me a few times when I was stuck, and reading the problem didn’t work, so I am forever grateful for that!

• Just discovered you….thank youuuuu

• Am I the only one noticing this? She’s a way more beautifuler than the first chain rule video🤗. Thank you for helping me on my opcoming demo🙁😁

• Why does this feel like asmr?

• How to do factorization in chain rule with product rule???

• Hot asf teacher

• I really like your channel setup and how you film your videos. It’s remarkable marketing acumen. Not surprising from a Math Major. I too was curious about the technology you are using to write it as you are, making it appear you are writing backwards. I saw in the Q&A video that you are electing not to reveal it. I know why you elected to use this style/videography setup though. It was very smart really. I don’t think the style would work as well for my content, but it’s perfect for you. Well done. Subscribed.

• I love you

• It is so difficult to pay attention when a crush on screen like a princess.

• you are the best maths teacher i have ever seen ☺☺☺

• Should change her name to Nancy-Creampie… Cause DAMN!

• Can you please kick out however many videos are needed, explaining matrices, how to perform the four functions on them, and generally how to deal with them?

• Sister you are so great because you are providing free clases to and more information to public as a good and best teacher (professor) i like your class tooo Hope to upload next class on probability plz😎😍😍😍🙇🏻

• I speak Spanish and i understand everything! muchas gracias!

• Does anyboby know another math channel like this one? I love learning maths. Thank you.

• I’ve never imagined that in MIT graduate could be SO beautiful and SO intelligent at the same time, how do you do it? Also you explain things well. It’s a pleasure to listen to you.
Let me explain, I’ve studied engineering and all the girls were not so cute (not ugly, because i would never petmit myself to use that word), because they most of the time never care about their look.

• Hi Nancy I love you plz reply to me I wanna birth your kids

• Nancy, where have u been for the past 5 months!? We need u back!

• nancy I hope you’re doing well, you sound a bit exhausted

• Given your evident math education skills, have you considered producing a series on the basic axioms and postulates of Algebra? Or one on the laws of Boolean Algebra?

• Where are you at? Professor Leonard is cool but he puts us to sleep sometimes. If you need anything let us know!

• Mam, please teach us permutations and combinations.

• Im new subscriber. Please upload more math video. Thanks

• Very beautiful

• Nancy. Are you coming back?

• Hey nancy i know your trick for writing vice versa you are now actually writing opposite and i can make video as same as you

• not

• what is the derivative of 2/square root of 3-x

• I’m so confused in Calculus 1 on Concavity(when ‘f’ is increasing, decreasing, concave down, concave up,etc.). Pleases help!

• I like your videos and impressed n try to follow you.

• Busy to study again after 12 years, was struggling a bit with this thank you.

• I lovey you❤️

• anyone else see Log! as log base ten of a factorial? because my heart skipped a beat.

• is she alive????

• hella fine

• Why did you stop making videos?

• Hi Nancy! What(how)do you use for board? It amazing . Please send me brand I can buy. I am Python programmer and want to teach like your style. You are amazing. Please send me email or here
dreamvirginia62@gmail.com

• Hey! could u show us how to solve the last example where chain rule applies first?

• Stumbled across your channel and after 2 videos I figured, “Hey. Why not comment on her most recent video? I’ll say that I just found my new favorite ASMR channel. Might be funny. Maybe she’ll thinks it’s cute.” Then I saw the Q/A video and realized I wouldn’t be nearly the first one to go there. So yeah. That went nowhere in a hurry. In other words, just when I needed an original and flattering comment, it vanished…

• i like math , you , and your videos

• could I ask you a question , how did you record your videos ?? which application do you use it ?

• Could you team up with 3blue1brown? Maybe it’s a good combo. I prefer listening to you but I prefer the visual examples of 3blue1brown 😂

• nancy can you do some videos over matrices and methods like Gauss-Jordan?

• Plesase make more videos for us plesase mam

• i want to learn how u can write on screen like that??

• Hey Nancy, can we please date?🥰

• I do believe that you are the voice actress of Aerith from final fantasy 7 and her beauty was based on you too.

• do multivariable plz

• If l have integration with interval [-2,2] ax^3 +bx^2 + c why it depends on the value of c ??

• You, Nancy, are pretty and I appreciate learning Mathematics from you.

• 🤔

• These are so helpful😭

• Nancy, how you do this videos, behind a glass and inverting wright an left?. Thanks. Respectful: you are beatiful.

• yes

• Have you considered also teaching college math in your channel?

• Hi

• You are stunning! Could you do a video about rieman’s integrals or integrals with limits? i don’t even know how they are called! Cheers!

• Hi Nancy! Just wanted to thank you for helping me through my last math class in high school!

• NancyPi explains Maths in such a clear and concise way. I used her previous channel as both a learner and a teacher and this has inspired me to set up a youtube channel of high school Maths lessons. 32 lessons so far. Perfect for distance learning.

Any support and feedback would be helpful.

• Could you do a video on relative extrema?

• Chain rule is really awesome,
I understood this when I saw integration problems

• Oh my God…I made a mistake …I found this video one day before my maths exam for a doubt
….and happened to subscribe it watch each video again and again…😁

• @nancyPi how do you use this transparent board to write classes on youtube?

• you deserve more subs for the hard work you put in, keep it up!

• What is the ‘best’ book for Calculus?

• I don’t love math but i don’t know why i am watch these videos

• Strange, how many day’s after will come the next video.

• She is the best

• Thankss to her I was able to pass and got a high score thank you so much nancy stay safe we miss uuuu

• mam u teach so good and u r so beautiful that i can study like literally hours when i watch ur videos.keep teaching mam

• Hello Nancy, I feel like I am in college and I have the best Math professor on the planet.
Your explanation of the equations are soo straight forward, easily understood,
You need to right a book” math made easy.

• Love your outro but also youre helping me get this HW done during this pandemic.
I appreciate it

• 🔥

• According to me (Maths on youtube)=(NancyPi)….. lots of love from india…. only coz of u i am able to understand my engineering mathematics…..thank u mam

• I forgot about mathematics,😅 but I kept looking at your face because you are so beautiful 😝😍

• Hi Nancy. Nice video. What kind of glass do you use for video? Normal window glass??

• You should take a break from math and become a model 😉

• Hi Nancy
Thanks to explain
I have one question
Can you help me ?

• Hello pls notice me hehe im from Philippines🇵🇭

• do u plan on making more videos? :0

• I like Nancy Pi. At least, I think I do. Maybe it’s just her great looks. Who knows? I studied 1st sem Cal. w/Anal.Geo. about 15-20 years ago. It was a complicated class but in general no too difficult. My strength was solving word problems. A bit more abstract as you have to create a model that accurately represents the actual problem. Proofs also can require a bit of ingenuity. Differentiation and some of integration are easy if you’re good at following complicated instructions. I struggle with some mental illness due to drugs. As a consequence, I always get the impression that Nancy is using the mathematical principles as metaphors to explain some spiritual concept. If I can get past that I can really enjoy her vids.

• please tell me how to write on screen like that

• Good evening Nancy. Just a very serious question. Would you consider to give some private tutorial on line for my grade 11 daughter. She likes you a lot and feels comfortable with your way of teaching. If willing to do so, I will give you her temporarily e-mail address in order to connect with her from there. Privacy is absolutely essential on the net.

• Are u lefthanded or is the video inverted?

• The 6th sum can be done in an simpler way by applying d derivative of √x

• Does anyone know what happen to Nancy?

• This is really helpful thanks nancy ❤️

• The chain rule with the product I didn’t understand towards the ending

• Hi, Nancy I like your very much videos, Congratullation !!! I am starting my Chanel in Colombia and I would like to know what is your technique for writing on the screen…Thank you…

• Beauty+brain☺️☺️☺️☺️

• I haven’t watched any of your posts in the last year but I have to complement you. Your confidence has improved significantly, you were always easy to watch but you are now more loose in your approach. Love it, exactly what I need to pick up where I left off.

• THANK YOU OMG

• I hope her husband will be a perfect mathematician..

• I’ve been making a lot of math instructional videos lately.. unfortunately not nearly as professional looking at these! Great job

• For the very last question with the ln and the product as the argument, you could also use laws of logarithms to expand and simplify and then differentiate each term which makes it much simpler

• I just love how you explain everything, it’s very helpful… Thank you very much Nancy ❤️

• Hello my name is Joseph. I am a math teacher. I give my students distance learning because of corona. I want to ask you a question. how do you write on the screen I like you, you are making beautiful videos

• Hey I love all your videos, I just started my own math channel doing walk through of questions. I’m finding it so different to teaching people in person!

• Teachers to hot. Couldn’t learn anything

• this helped me get my best math grade in years thank you

• Thanks for the all calculus videos. They really made a big difference for me. Passed cal 1 and finished my associate’s degree.

• the pace is absolutely perfecto

• Nancy calms my anxiety

• love from India 😘😘😘
hi iii my my favrt

• y=e3x expontial how can calculated

• Mam ,you are competition between beauty and talent both. It’s hard to define ,your any one as superior feature.
Very perfect🤝🙏👩‍🏫👩‍🏫
Love you mam

• ..
hello kids..

• I declare myself infatuated… also with Calculus 😜

• Shampoo & hair oil brands should sponsor her videos .
She is intelligent, softspoken & beautiful also.

• Hi, can you please give more explanation on how you simplified the 4th example? I would really appreciate it and it would be a great help since I’m studying this on my own

• Pleas what happened to the powers @ 10:29

• What happened to 8x?

• sorry, i got 8X factorization but the powers, i dont know.

• Ur fan frm TN

• Bad video india teacher is best

• 🖤

• Thank you so much!! You can’t imagine how much you are helping the students of the world!! 🤗

• where did the exponent “4” went when simplifying from the 2nd y’ to the 3rd y’? 10:40 Great video!

• I was thinking the same thing

• Nancy, I have a question.. how to solve y=(4x²-5)(6x+1)⁵… chain rule