MIT grad shows how to use the chain rule to find the derivative and WHEN to use it. To skip ahead: 1) For how to use the CHAIN RULE or "OUTSIDE-INSIDE rule", skip to time 0:17. 1b) For how to know WHEN YOU NEED the chain rule, skip to 4:35. 2) For another example with the POWER RULE in the chain rule, skip to 7:05. 3) For a TRIG derivative chain rule example, skip to 9:33. 3b) For the formal chain rule FORMULA, skip to 11:36. PS) For a DOUBLE CHAIN RULE (or "repeated use of the chain rule") example, skip to 13:33. Nancy formerly of MathBFF explains the steps.

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

Twitter: https://twitter.com/nancypi

1) 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". For ex, in the equation y = (3x + 1)^7, since the function 3x+1 is inside a larger, outer function, the power of 7, you'll need the chain rule to find the correct derivative. How do you use the chain rule? You can think of it as the "OUTSIDE-INSIDE" rule: take the DERIVATIVE of JUST the OUTSIDE function first, LEAVING THE INSIDE FUNCTION alone (unchanged), then MULTIPLY BY the DERIVATIVE of JUST the INSIDE function. Sometimes you might hear this expressed as: take the derivative of the outer function, "evaluated at the inner function", times the derivative of just the inner function. For our ex, first take the derivative of the outer function (the power of 7) to get 7*(3x + 1)^6 since the derivative "power rule" tells you to bring down the power to the front (as a constant or coefficient just multiplied in the front) and then decrease the power by 1, which leaves a power of 6. Notice that you leave the inside function the way it is and just rewrite it for now. Then you multiply by the derivative of just the inner function, 3x + 1. Since the derivative of 3x + 1 is just 3, the full derivative (dy/dx) is: 7*[(3x + 1)^6]*3, which is just 21(3x + 1)^6.

1b) HOW do you know WHEN TO USE the chain rule? If the original equation had just been x^7, there would be no need for the chain rule. It's when you have something more than just x inside that you should use the chain rule, such as (3x + 1)^7 or even (x^2 + 1)^7. Sometimes the chain rule may make no difference. For instance, if you have the function (x + 1)^7, taking the derivative of the inside function just gives you 1, so multiplying by that inside derivative of 1 will not change the overall answer. However, it can't hurt to use the chain rule anyway, so it's a good idea to get in the habit of using it so that you don't forget it when it really does make a difference.

2) Another chain POWER RULE example: To find the derivative of h(x) = (x^2 + 5x - 6)^9, use the same steps as above to first take the outside derivative and then multiply by the inside derivative. In this case, the derivative, dh/dx (or h'(x)) is equal to 9(x^2 + 5x - 6)^8 * (2x + 5). Using the chain rule with the power rule is sometimes called the "power chain rule".

3) TRIG EXAMPLE: the idea is the same as above even if you're using the chain rule to differentiate something like a trigonometric function. If you have anything more than just x inside the trig function, you'll need the chain rule to find the derivative. For the equation y = sin(x^2 - 3x), you first take the derivative of the outer function, just the sine function. Since the derivative of sine is cosine, the outside derivative (with the inside left unchanged) is cos(x^2 - 3x). Then, find the derivative of just the inside (of just the x^2 - 3x part), and multiply by that. Since the derivative of x^2 - 3x is 2x - 3, the full derivative answer is dy/dx = cos(x^2 - 3x)*(2x - 3).

3b) FORMULA: Although it's easier to think about the chain rule as the "outside-inside rule", if for any reason you have to use the formal chain rule formula, check out the two versions I show here. Both are based on the equation being a composition of functions, f(g(x)). The second version shown uses Liebniz notation. Either way, both show a component of the derivative that comes from the inside function, and it's important not to forget to multiply by this inside derivative factor if you want to get the right full derivative answer.

P.S.) DOUBLE CHAIN RULE: Sometimes you might have to use the chain rule more than once, known as "repeated use of the chain rule". In y = (1 + cos2x)^2, not only would you need to take the derivative of the outside power of 2, as well as multiply by the derivative of the inside function, 1 + cos2x, but after that you would ALSO then need to multiply by the derivative of the 2x inside cosine because that inside function was 1 + cos2x and not just 1 + cosx. This means you would use the chain rule twice. The idea is that you have to keep taking the derivative of the inner functions until you have reached every inner function that is more complicated than just "x".

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

thanks 🙂

Thank you

Notifications on. Pen at the ready. Whenever Nancy uploads, the math starts.

Good morning from Australia. Thank you for waking me up via youtube notification lol

Can you make a vedio of application of derivatives 😕😇😇😇😇

cope with heartbreak with derivatives

yes

Levi lol

lol

Lol

Awesome and oh so true.

Calculus must be a simple labor of love to enjoy on your Happy Labor Day Nancy! 🙂

Give chain rule for integration.

I need a private tutor like you

Nancy.

I’m surprised how active you are, so many videos in such short time, it’s a pleasant surprise 🙂

I literally just made an asmr video on the chain rule not too long ago. Nice job! You’re so adorable. People underestimate how hard it is to think, write, and explain at the same time, not to mention your super amazing “backwards” writing 😄 Im glad to find another female MIT grad on here (were you course 18?). I wonder how many of us are on here 😘 Keep it up Nancy!

Lol she’s not writing backwards, it’s mirrored

lol I know. That’s why I put it in ” “. I was just joking because people ask about her writing all the time 😂

@Decaf-Math ASMR 😀

thank you <3

Show me as many chain rules as you want lmao. Thank you for the new topic never knew.

The examples were fun and helped.

Love you

Man I miss calculus. It was such a fun challenge. The only part I dont miss is exams….. that stress.

Can you make some calc 2 videos please?

This is my girlfriend. You are making me proud babe!

Bush 😂😂😂😂

Do you think you can do a video on differential equations? Just Ordinary differential equations.

Great video.

You are making me very smat.

Apparently not.

@Fanime Productions T.V. English is for people that dont understand maths

this is stuff i know for like 2 years now, i am just watching to hear her voice it so soothing 🙂

ikr

Same but good refresher. Surprised how much easier it is to follow now than it was then.

sin((x^2)-3x) , “It’s trig dont get too excited.” Wts 😂 so nancy is some sort of a mind reader now huhhhhh

Thankyou

Hello from turkey

Love you Nancy. You’re really helpful and a life saver. Thanks thanks thanks

Your awesome thank you

Can you do some pre cal pls

Thank You Love from Pakistan 😍

hi nancy, which technology are you using for these type of recording?

Um… a marker and a big glass to write on?

Happy teachers day nancy

Your the best Nancy

great video thankyou

Tank you for your teaching

Do vectors next please

Stuck with Leibniz’s notation? No, <3 Leibniz's notation!

Ronald Jensen I’m down wit da Leb too.

I’m getting though business Calc by watching these videos.

How do U do y=(e^(2x))/(sqr(1+x^2) ?

Take u=e^2x

V=(1+x^2)

Use [v. du/dx – u. dv/dx] / v^2

How fau u take to few uiew

You are very beautiful…

You are the reason, I started loving calculus.

Sahi hai bhsi

@VIGAX GAMING hi bhai

Calculus is the reason I started loving her

Hey fucker this that’s my avatar

simp

I really needed this! Thank you! 💖

For y=(3x+1)^7 couldn’t you just use pascal’s triangle to get the expanded binomial, and then take the derivative of the result?

smartass 😉

You uploaded this series on derivatives just in time for me to learn it the weekend before a big calculus test. My heroin

Dam Nancy! Way to go hella deep in the first 15 seconds! lol

thats what he said

she sounded so sweet and kind at the end that I had to hit the like and subscribe button XD

is she writing everything backwards to her?! O.O

“time is the one thing you can never get back” i think to myself looking at all of my calculus homework

Imma bout to nut a asymptote on that foreheAD

Same. My test on derivatives is tomorrow and I’m not even halfway done with the textbook homework at the moment. I thought a few days would be enough. Man, I was dead-wrong. I hate my garbage time management skills.

I was dying when she said that lmao

Really made me feel like shit before even beginning

lmaoo. I feel you bruh

I love your videos !

Thank you for explaining this in a way I can understand. You are one of 3 channels I watch regularly while I plow (struggle?) through my calculus class.

You rock. Thank you so much!

What’s more trippy than the chain rule? How she writes backwards perfectly. Anyone else wonder how she does that?

Do I need to apply the chain rule before using the quotient or product rule?

john Mitchell No

16:30 was quite convincing to like and sub LOOOL

Thank you! These videos are really getting me through AP Calc.

She’s using mirror stuff effect. To those who wonder how she wrote at the air.

@Navya Shetty she edits the video while she’s writing? i guess that’s how she speeds up sometimes too

@Blah123 apparently I understand your humor :))

@Turbo the Snail The camera itself takes images backwards. So its natural that the flip side will become the correct when viewed into the camera.

So she’s left handed??

She is using mirror as an Item and mirror as an effect

Can you please show us how you film this videos because I’m so confused and it’s driving me crazy 😂like do you write backwards??? On a window????

She writes normally but then flips the image in her editing software

@jewjew abrams Is she writing on a glass ?

Marry me! 😍💕

You made it so easy

helpful video

These vids help so much!! Thanks Nancy!!

What if (sinx+3)^4

Jemwel Pasigian need to use chain rule! But same time can also be skipped because sinx is an identity so you can plug in formula.

I just need you to teach us how to do the fast forward technique

*because time is something you can never get back*

Love your videos.

thank you!

نانسي مرتبطه ؟

Well done… the topic won’t make me amaze but the way of you’re teaching ma’am. BTW Happy Teacher’s Day continue to help other people like me… God Bless…

Thanks Pi!

Hi Nancy. I love your videos and thank you for your help. Would it be possible to please show us how to work, let’s say cos(sqrt of sin(pix))? If I subtract 1 from the original power (1/2) I end up with -1/2 which brings the function to the denominator, but will cos go down too, or just what is raised to the negative power?

I did maths too long ago to remember…. then found this and it all came back. You’re brilliant at explaining things, thank you!

thanks! you earned yourself a sub on the first video of yours i watched!

I love Nancy so much she had me saved and calmed my stress at 4am for a calc test thanks boo

Absolutely clear!Perfect!Thank you so much.

Thank you nancy…you make calculus so easy ….i have learned more from you than my professor. Thanx again

Thank you you helped me a lot

getting addicted to the sound of speed @11:45 Amazing 😀 thank you, you’re a great teacher Nancy Pi. 🙂

Thank you

Is anyone else wondering how this chick writes calc backwards from her view.. #talent

Then what do you suggest @Austin Aldrich ?

@umer waheed after reading more comments, I do agree with others that the entire video is flipped. Someone said she is normally right handed, but is left in these videos which explains the flipping. I thought they were saying the righr hand side of these videos were flipped.

Man u doin Alev?

Paloma Aguilar ur a fckin idiot

she uses a special board called lightboard

Oh Nancy, You ae heaven sent

I may pass calc now thanks!

Wow…first time to watch your video and I feel like at least I’ll answer something in my (cat) next Thursday..good job..

Thankyou Nancy!!

I disliked this video

wait shouldn’t your derivative produce a number, and why does the -sin2x become +sin2x in your example? Also when are Derivatives actually used?

Hello my name is Nahil I’m from Saudi Arabia ,sorry my English don’t good but I want to thanks you you are very great teacher I love watching your videos it’s very helpful.

I wish i had a math teacher like you

I have a quiz next week and you legit just saved my life thank you

what if you use the chain rule, and just end up in a chain of chain rule without getting to the final answer?

these comments make me want to kill myself. people are so cringey.

Thank you nancypi!!!!

Thanks Nancy! Helped me so much!

She’s back 😀

never skipping calculus again if u were my teache

hihihihihihihihihihihihihihi she just made my life hard u know wat i mean

Can you do a video on High Order derivatives?

After watching your “Quotient Rule made Easier”, I suppose you could say the Chain Rule made Easier is “dee OUT IN dee iN”

I wish youre my math teacher 🙁

I’m a liitle confused. I have the following: e^(9*√x) so “e” is the base and (9*√x) is the exponent. Which one is the outer and which is the inner function?

You wouldn’t need the chain rule for that function

LOL that opening was so dark. “time is the one thing you can’t get back.” but it got my attention.

And worse, time warns you with a whisper.

YOU JUST SAVED ME

I love you

why u so sweaty

math never been this aesthetic

Math has always been this aesthetic. 😉

model

It’s hard to learn calc when you are just staring at her.

Tim Rubin Halcomb damn that’s so powerful

stare at these fkn balls lmao

You got me 😂

@Conshisthot bruh

The intelligence is just attractive to most of us.

You’re amazing 😭

This honestly is the best video for explaining chain rule in my opinion. After watching this, chain rule make sense. Never leave YouTube and continue making more!

thank you

Im confused, are you writing backwards on a transparent whiteboard?

You need a video like this but on crack. My professors love throwing shit at us that requires double chain rule + quotient rule + inverse trig derivatives.

How do you know which to do first? Do you have an example with solution and work shown?

Useful Video,please make a video on How to find general term of a sequence?

These comments lmao

lmao I watched Nancy p in high school, look at me now, still watching in uni

nancy pelosi*

are u single?

Found this easy when it was introduced in class and this video was good for reviewing for my test.

how did it become -4 and positive sin2x in y’

She’s smart, good looking, a lefty and writes backwards. Thanks nancy

Very good video Nancy.

Very impressive, getting your material across could be very challenging and I must Nancy Pi does a great job of that.

I just want to say Thank Youuuuu Very much. My teacher has made the same question 5 times harder and you showed me a quick way to do it. I appreciate it very much.

your videos help me a lot! <3

Thank you, NancyPi.

“Begging you to use the chain rule” 😂😂😂

“The chain rule is your friend”

you make it so hard . its very simple . Actually need only few word to explain.

Thank you so much ❤

owsome

Please more Calculus videos, great help thank u so much

Nice.

Beautiful 😍

You are doing god’s work

ThankQ medom

Thank you for the video, much appreciated keep it up !

Nice

give me solution for e^-mx sister nancy

you are doing the great job

lol her stomach rumbling at 5:37 and her just being like um ok

hahahaha…..attention!

I’m no saint but pointing that out is just weird ,and the fact that you apparently love it is even creepier.

@xogmaster v

That was so hot. I love when unicorns show their human side.

@Muhammad Qasim Dilawari well obviously I never seen a saint named Muhammad before

You’re beauty more than the math 😂😂

The power rule only applies to individual terms of x, not to polynomials that involve x. For (ax+b)^n where x is to the first power and a=1, it is a fallacy to say that it can be solved without the chain rule. Sure it’s easy to look at (x+1) and see that the derivative is 1, and yes if you erroneously apply only the power rule, you will by happenstance come up with the correct answer.

Thank you for sharing, helps with my engineering studies. 🙂

Wow great video, helped me a lot.

I will keep it short n simple..#”WOoooOW”

Why then

what about partial derivatives? works the same?

YEAH!!! 🤓🤓I’m now a genius. Thanks Nancy

bruhhhh i can’t focus. *i kept staring at her pretty face*

Same

Hey..dude…cmon…if u guys keep saying that…then maybe she has to stop uploading videos…

heck!😂😂

@syed bilal exactly you have to stop guys, PLEASE!

sub to pewdiepie

can you do a vid on derivatives using all these rules but for ln

ex: ln(3x+5)^7= y find the derivative etc etc

You’re amazing!Helped me so much!

I’m now addicted to calculus after watching this video….

Damn girl! You’re…….. you’re…. awesome

i don’t think i’ve ever left a youtube comment before but for you, i just have to! i have such a difficult time following most math instruction because i NEED the constant reminders of which rules are being applied where, even for simple things like simplification. You explain things so well, so thoroughly, and are genuinely the best math teacher i’ve ever had! i just wish you had more videos!! thank you a million times over <3

You were this years olds when you found out u were gay

You explain better than all of the teacher in my school’s math department

I’m hooked!

You don’t have to like math.. but you can like my video!.. smooth!

Thanks Nancy pi Sis

Thanx dear

you are wayyyy to fucking hot for me to focus properly on this shit

Hi Nancy, i have most of your videos and i really appreciate the efforts you are putting in. Nancy along with these tutorials if you can videos on how to multiply 3 digit, 4 digit, … numbers. Divisions, square and cube roots short cuts etc will be a great help for others and your followers.

Thanks a lot teacher!!!! honestly for this one i didn’t get even an iota!!!!

Are you a 90 degree angle? Cuz you are lookin’ right!

You are soo beautiful as your explanation😍😍😘😘😘

I love u and for upur video also☺☺

Iam from india we get 41 marks in exam .. Tnanxx hod Ill can score full marks for your beautiful video and beautiful face

do this…. log sin ( √(x^2 +1))

Cant focus on the math.

Nancy’s gorgeous

nice explanation … ma’am , please upload a lesson on exponential

G R E A S E

Idk why people find the chain rule so hard to remember. It’s just d out*d in. For d out, just assume the inner function is x.

When I took Calculus, the odds were against me. I was a struggling drop out who barely passed the G.E.D. test. However, after befriending a guy and his girl friend who were both engineers, everything changed for me. I had no idea that I had those kind of skills. As a joke, I placed a bet with John and his girl friend. It was a 50 dollar bet. Miraculously, not only did I win the bet, I became quite good in all mathematics. Without any prerequisites, I tested out of college algebra and trigonometry. I then took Calculus 163 and it just seemed so easy. I was also working full time. I liked it so much that I took all of the advanced mathematics courses, and that was at a well known university. I didn’t mean to, but I did make some enemies because I did better than the cream of the crop. In the later courses, the professors graded on a curve, and I controlled it. There was only one other person who came close to doing as well as me, and she was a Jewish Girl so that makes sense. ha ha.

I’m sorry for the story. It kind of sounds narcissistic for me to be telling a story on your channel. I’m not a narcissist. Rather, just amazed by how I was able to do what I did. All through out my childhood, I thought I was stupid. I was a very quiet kid, but I really got attacked. I mean people literally wanted to kill me, and I will never understand the reason why!

Oh! Let F(u) = u^9, and u = x^2+5x-6. df/dx = df/du* du/dx.. df/du = 9*u^8. du/dx = 2x + 5. Therefore, df(x)/dx = 9u^8 (2x+5)= [9(x^2 +5x-6)^8] * (2x +5). I used the symbol * to represent multiplication. Great job beautiful. ha ha

My nigga i love yo ass !! Your math help gonna get me out the hood and be an engineer 😂✊

14:15 isn’t derivative of cos2x equal to -2sin2x?

LemmeRocK I was thinking the same thing

Yes and that is what she says: (-sin2x).(2)

That’s what she said

Do you reflect the video along the x-axis in order for us to read the text? Or do you just know how to write the text in a reflected manner?

Thanks …it is very helpful for me ……

how did you write on that lady???

She wrote that like she would normally and inverted the video.

Nancy加油加油 and ignore the comments from polish people

tkanhs alot ms. NancyP!

why is that the derivative of (-sin2x) is 2? at 14:53

how about (9+2t-t³)^6.. does that need double chain rule?

Thanks

you are so hot😘😙😍

I know i was listening her the whole time but at the end the way she said to like and subscribe. I Couldn’t stop myself

Her voice sounds like the girl from lego who says ‘bye, alligator’ lmao

nancy you are amazing love, nice one

youtube. a better lecturer than your real life lecturer

when you differentiated -sin2x is the last example isn’t that -2cos2x not just -2sin2x

Super polished video series

that so cute, you are the cutest teacher I have ever seen, your teaching tech. with the smile is osm

Ritik kumar 🤦🏻🤦🏻🤦🏻🤦🏻

every student like me want a teacher like you

Thank you

I wonder why my Australian professor (I think he was a genius) made calculus so hard. I still don’t understand the dy/dx=dx/du, etc.

why do the( x^2 + 5x-6)9 answer is not needed to simplify?

5:36 I hear that stomach growling.

edit: and at 6:28!

Thx

thanks

Your voice is so sweet, it is like a beautiful instrument to my ears… by the way your video helps me to recall chain rule… Thanks ☺

helping me graduate grade 12 I subbed xD

Thanks, Nancy!

You’re the best at explaining! I loveeee your videos and it helped me a lot! I think I learned more from you than my teacher. God bless you!

Thank you so much for your videos. You just saved me! ❤️

Thank you so much!!!

Thank you for your videos!!!

Why did i take Stem at the first place i regret it ..

thanks THIS VIDEO REALLY help ME

you are very beautiful 😃

I don’t understand why I pay university profs so much when in the end I end up learning all this stuff from talented people on youtube, such as yourself. Thank you for your help!!

This GIRL IS AWESOME🔥🔥🔥🔥🔥🔥

That’s why I have developed a mindset where I just assume I’m gonna have to learn on my own, from textbooks, youtube and google. If the professor is good, then that’s a bonus, but I don’t expect much from them to start out with. A lot of things are like this in life, Just assume you have to do things yourself, don’t rely on others. Help can be nice, and you should seek in whenever possible, but it’s best to be self reliant first and foremost.

@William Kallemeyn same here … I do the same …

You have too. People will judge the value of your STEM skills based on qualification.

@BoyBoy Jason yeah , and that’s a bitter truth .

Beautyyyyyyy

why you are so pretty

If my professor was hot id learn so much more ngl

I think I love you

I am here just giving likes… if you got like that’s me 🙂

The real video begins at 9:35. Wish she gave more examples then on instead of from the beginning.

How is the answer any better than the question?

Hope you can be my prof 😭 you are amazing

thanks for the amazing video, helped alot with the way you explained

is the “speed up” noise when she writes satisfying to anyone else?

Better than listening… Than listening… Listening… To Sal from Khan Academy… Sal.. saaaaaall… From Khan… Academy… A… Caaad… Emmmm…yyyyy…. Repeat himself… Repeat.. repeat himself…. Repeat himself… Like… Liiiiike… This… Like this!

Such a helpful video thank you!!

какой приятный голос)))

Can you please do a video of combining the Chain Rule with the Product Rule? Thank You

ty for the help

My teacher is giving us a quiz on this even though we didn’t learn it… Nancy, you just saved my calc mark. You’re a legend !!

I know this is YouTube, but I’d rather tell you in person that you are crazy beautiful!

Thanks for the help fella…. Really made things easier!!

Thank you very much Miss NancyPi I really did learn a lot of very easy methods of understanding the Chain Rule.

Nicee

these videos would benefit a lot if they were not done in one shot. voice over while writing would benefit a ton

Thank you cant believe I forgot how to do chain rule… guess I need more practice

you are explaining it excelently. keep up…

Thanks.

But.. even if you get the 7(3x + 1)^6 * (3) = 21(3x + 1)^6 … you still need to actually calculate that enthire thing? would take decades. Unless you repeat the chain rule until you have nothing to the power of the function. SomeNumber(3x + 1)^1. Not sure if that’s valid tho?

Chris E No, you only have to apply chain rule once as the question is to differentiate the expression, not reduce it completely by multiple differentiation. You do not need to expand it either with binomial theorem. Its tedious work and is NOT required. Just leave it like that and also do not differentiate the answer again in idea that you’re simplifying, you will get an incorrect answer as differentiating again gives the second derivative

I don’t know if I’m watching this because I’m failing math or because she’s so f****ing cute . now that’s a composite function need the chain rule!!!

OMG OK U R GONNA SAVE MY GRADE IN CALCULUS 😭

took me about 20 seconds to realize you were writing backwards to your perspective. Hats off.

Can you explain why you don’t have to completely simplify the answers? Is there a rhyme or reason for not doing so?

you deserve a nobel prize

really amazing video, thanks

Learned in class today, was lost as hell. Watched this video, 15 mins later, I now understand it lol.

I don’t speak english

But learn how to solve derivative from this channel

Ms. Nancy you are Great

😍😍

Don’t get me mistaken I like Maths but, sometimes I feel like jamming a gun right down my mouth then firing till it goes *click*

you are an angel sent from heaven

Thank you so much! This is the first math tutorial I’ve been able to sit through because you make it interesting.

Okay, so my two friends and I were told to take notes on this video as an assignment. We all agreed that you are one of the best math video producers we’ve ever seen. We also agreed that you have a chill vibe, like to the point where we could make flower crowns together and talk about life with you for hours. Seriously, this is a fantastic video! 🙂

Amazing video. Very clear. I really like how you present everything. It simple and you deliver it in a really nice calm way. Feels more like a friend showing you.

I never even thought this was possible for a free YouTube vid… but this is better than Khan academy 😄

Khan academy is full of smart people. Being an MIT math grad is a whole, notha, level

To me the khan academy explanation was way better than this, because they demonstrate the chan rule

@Stiventson44 please explain what the “chan rule” is

@Eli Marburger The “chan rule” is another method of finding derivatives invented by the famous Honolulu detective Charlie Chan.

realy time saving and easy to remember. thank you nancy

your dress is not perfect

this made the chain rule 10x easier for me to understand

Nancy, i bow down to you, thank you! My professor is complete garbage. He spent 2 days on this and i still had no idea what he was going on about. I learned this in 15 min thanks to you.

You made my life easy!!!! Thank you so much .. wish you were my math professor

is this woman writing backwards?

At the second example, why didn’t she distribute 9 to (2x-5)

vincent baldonado That would be quite difficult to distribute, Not only would you have to use binomial theorem to expand the octa polynomial but then you would have to distribute it again with a linear polynomial. You never have to do such things.

you can leave it undistributed

You teach great Nancy! Wish you were my maths teacher

How do you differentiate X(sin(X)^2)?

Could you pls explain

BTW you’re the reason why I love calculus. Thank you😁😘😘😘😘😘😘😘😘😘😘😘♥️♥️♥️♥️♥️♥️♥️

I wish I could have a math teacher like you. My math would have been way better than now.

you are so cute !! i imagine that i have your number!😅

I wish my professor was as pretty as you

How do you know when to stop finding the derivative? Like you could take the last bracket of the things you’ve solved and solve for the derivative of that.

Jasmine Joaquin You only differentiate the entire expression once, till you get to the innermost function. Don’t differentiation the derivative again because that would give the second derivative which you probably do not want.

Fen boii Got it. Thanks!

man i thought i was done w this channel after hs now look at me, back here with this on repeat at awkward hours in uni

how do she edit the board/ surface on which she writes??

Great work!!!! Thank you!!! It really clarified a lot of things!!

that is great

What if there’s a cube root

Paul Ps x^1/3

How can i concentrate on the video, with this peng ting explaining it to me?????

Nancy can’t thank you enough! U at a Doctorate level….

Wow, how does she write backwards so well?

Master The Chain Rule And Get Familiar With All The Notations. Gotcha

can you also do videos/ lessons for AP calc or for college students? same thing but more challenging questions?? thank youu

Hey, i’m new to this topic, I understand everything except the end example14:49, where you got rid of the Negative sine

Very sexy maths

HOW DOES SHE WRITE BACKWARDS

why did the -sin turned into just sign? 15:30

Raeean Ahmed the negative moved to the front of the function. In front of the 4

Ma’am I’m from India you explain the thing in such a good way with clearing the concept like no other Thank you so much ❤❤

Thanks I learnt my most difficult topic

thank you nancy💕

so i watched the video earlier before, now im back

💗 🇹🇭🇦🇳🇰🇸 💗

At school we’ve been learning this for over 2 weeks and we are having a test tomorrow on it. All this time I understood absolutely nothing at the class but now I watch a 16min video and understand everything xD

What does she write on???

You understand everything when your teacher is not, love you Nancy

Thank you so much 😍👑

Thank you this really helped

Everything is crystal clear. Thank you!!!!

Your explanations are great, I understand the concepts and process well. But I’m a blind math student, and sometimes it’s difficult to follow along because you don’t say what the functions are at the beginning. You completely rely on the audience to use their eyes and vision to see the functions for context. As one of your viewers who is blind, I sometimes get lost because I don’t know what the function is or what numbers/variables in which you are referring. You mostly say, “this” instead of saying the actual function or numbers. Saying “this” less often and the functions and actual numbers more often would greatly help me with context and understand the numbers you are referring. Your explanations of the concepts are great and clear, adding verbal and audible context would be a great accomadation for me.

Murphy Diep I respect your work ethic man, keep it up.

Thanks for your help!

How tf do you write backwards

Hi Nancy, which program do you use to write directly on the screen?

15:02 how did you get -4 and positive sin2x

That ending was pretty climactic, I must say.

lmaoo these comments are hilarious. Focus my children.

Yup

You are right.

Thanks. It was helpful ❤️

The most impressive thing is that she’s actually writing backwards!!!

I don’t think so lol

sorry no, the video is just flipped

Ummm no

i love you

ti les mori

you are left handed

luv u nancy

Thank u soooo much

like my comment if u think she explains better than most of our lectures

Hey Nancy!

Whats your sine? It must be pi/2 because you’re the 1

Thx for the videos, i still have passed calculus but i think i Will soon thx to you 😎

its very difficult to concentrate on the topic,,,once u r in the screen!

Calculus taught me the most important lesson I ever learned in school. Don’t take a class at 7am five days a week. On the bright side though, I always got a good parking spot!

calc final in an hour… you are a life saver.

Thanks Nancy, I always watch you when I feel like I should be studying but have been distracted, you have a knack of bringing me back. I owe you the 1st I’m aiming for. Couldn’t have done it without ya. 😉

“When do you use the chain rule? When you have a more complicated inner function…”

NO! Use the chain rule ALWAYS!!! The chain rule ALWAYS applys!

Say you want to find d/dx of x^2

You still need to use the chain rule.

1. Power rule – bring the exponent to the front, then subtract 1 from the exponent – you get 2x

2. Chain rule – multiply by the derivative of the inside function, which, in this case, is 1, so it doesn’t change anything. But the chain rule still ALWAYS applys.

love you NancyPi

This helped my soul

Nancy, I thank you.

I have computer aided geometric design exam in 2 days, and I needed to remember this quickly, because school was way too long ago and I kind of forgot what this was about.

hey say you have an exponent like 2^(2x) how would you do that

BLESS YOU!!! SO CLEAR!!

She is good. Thank you so much

omg you explain so well. thanks

U teaches very nice were do u live mam 👍👍👌😇😇

I think I get it. So, if that’s true, then the derivative of x cubed would be 3x squared?

ratzasse yes

simple stuffs

Wow you made it much easier than it was expected to be

You’re amazingly smart

Now that I realise why it’s called chain rule it all makes sense!

ok hold up is she actually writing in reverse

No she flips the camera

Stardust Lordfinery thank god cause I was wondering about it the whole time I was watching her videos lmfao

Mam, it was really helpful. Thanks a lot.

This may be the clearest video I’ve ever seen for math.

You are so beautiful

whaaaoooooo!!!!!!!!!!!!!!!!!!! this is soooo nice your explanation is really helping.. THUMPS UP

I couldn’t focus more on the board then I do on YOU.

Thanks anyway

What happens if there is no power outside the bracket? Does that mean the power is 0 then you minus 1 so it would be to the power -1?

if there is no power it means thats its raised to power 1 not 0. anything raised to 0 equals 1

Never liked maths cos i it was never xplained the way its done Nancy Rox

Great as always

Is she writing backwards?

Wonderful explanation………ma’am……..lots of respect from India…..😊😊😊😊

khan academy + nancypi got my back

Loving, cough cough, math😍😍😉

Can we not apply product rule in the se questions.

I really love you.

I mean your videos.

p.s -love you too

Me:I don’t know calculus but i know i love you.Will you marry me?

Her: 6:09

😂😂😂

An what if it was 9:04?

Ha u wish

Also her: 9:41

Nice

Is The Video Flip Or You Know How To Write Mirror Letters

Thank You!!

Wow…mathematics is also beautiful when some gorgeous lady is teaching it!

I learned today that mathematics is also beautiful.

Thanks for such easy explanation.

Nancy s hot😈😈

How can we solve -sinx^1/2 🤔

😌 Please reply

dx/dy=-cos(x^(-1/2))*1/2 =-0.5cos[1/√x]

Treat initial (-1) as the constant, know that the derivative of sin is cos, and treat the inner function as x to the power of 1/2. Easy, man!

@Life Unfair Thanks bro

@Priyank Tongar You’re very welcome bro! Enjoy the Maths!

Those are very useful..thank you nancy..

I would not skip any maths class if the teacher was this pretty.

👌👌👌👌

Hol’ up, girl. How are you writing backwards like that? 0_o

Don’t have to like math but I have to Like your video

I like the way of teaching very easy to understand! Keep it up!

Looked many lectures but didn’t understand chain rule..

Thanx mam u have done a great job..

Love from Pakistan

You should to give more examples

Thank you so much! I’ve been struggling with derivatives for some time now and really appreciate you doing this

I just realized you’re writing this all mirrored! And left handed! Wow!

No, she isn’t.

If write normally and right-handed on glass and film from the other side because it’s easy and shows a good view, it’s backwards. Now just mirror the image, and it appears left handed and forward again.

good from nepal

Like. Like. Like.Like

THANK YOU SO MUCH

It’s like you good

Awesome teacher!

This is a good refresher on derivatives.

Wow 😍 i never knew calculus was so easy. All bcuz of u mam. Thank u 😅. Was wondering if u could tutor me 😍

Lindíssima

U EVOL I

how you can do that ???

Excellent performance

I would like to see a maxima-minima problem

The chain rule directly follows from the outside-inside rule. They are essentially the same, just said differently for different circumstances.

Nice job Nancy! Thanks for videos and keep on!

I’m an electrical engineer nearly ten years out of school, BSEE/MSEE, it’s midnight and I’m watching Nancy’s videos and I have to work tomorrow 😂

Thanks

very helpfull keep going!!!

Just came across your channel. its really educative and easier to understand. Thanks alot

Nancy…you are really making my life easier….im a fist year student and the way you teach its 100% awesome thank you

They wasted the title “A Beautiful Mind” on some film about John Nash.

Albert Batfinder no they didn’t

Do you actually write back to front in the video or

is it added after? If you do write it the hand writing is better than my normal writing ✍️

By the way thanks for the videos. I’m about to start a data science bootcamp, these videos are going to so useful as you explain things so well. Thanks!

Great video and explanation. Thank you Nancy.

This is what iam looking for thank u mam

That’s informative

she likes to swim

thanks, I learned so much from you and got in love 😍

I ‘ll take door number 4 drew

Thank you for posting this series of videos on directives. I’m learning about machine learning, but I don’t know calculus, so these videos are just what I need. I would be happy to watch one more video, that covers the last three examples you showed us in this video. Also, you’re really gorgeous.

I should be paying you instead, not my uni teachers. Thank you so much.

Nice profile pic

@Vinícius Teixeira it dj0nts mate

Thank u Nancy….I didn’t understand it in school….love from india

This is amazing to study like this you are awesome teacher thanks.from India🇮🇳

Awesome

Thanks a lot

Damn! She writes so fast!!!

Learned a sem worth of classes in three vids. Thank you for my making life easier.

“It’s Trig. Don’t get too excited” !!!

that blouse just like math looks really good on you

Are you a lefty or righty?

Amazing! Thank you!!!

Ma’am u are so beautiful😍😍😘😘❤️.

Also thanks for explaining such difficult topic ..

Luv u ma’am.

Your so gorgeous Nancy❤️

I smashed the LIKE button lol

I wish i had a teacher like you in my college.

Hi how would i solve e^kt sin(at) i have been told the formula changes to f’g+f g’. Is this true?

You know the multivariable calculus

There is chain

Also chain rule is

How tf is she writing backwards the whole time? And she’s left handed!

my question exactly?!?!?! what is this sorcery

I just wanna know what shes writing on. It looks like shes writing backwards on a glass pane and then it erases itself without a scene change! Who is the producer of this masterpiece??

فديتج تسوين كل دكاترة جامعتنا

The last part is a little conffusing will you please explain with otger examples more furthr PLEAAE Nancy ?????

Hi Luis, which part do you mean? The Double Chain Rule part? Or the e^(3x) and ln(5x) part?

Hi Nancy! Do you have a video that explains how to apply the chain rule ro the problems at the end of the video? I’m referring to e^3x and ln5x. The rest of your video made perfect sense, but these are a little hard for me.

How to write like you opposite side please tell me

I want to marry I was totally impressed

got through the whole video without learning any math. Distracted by how shes writing backwards

Very nice Video

I am going to upload a Video of All Questions of old papers of IIT Differentiation. So just check that out. Thank you

Thanks a lot. I am Brazilian but I could understand well. I loved the video.

i never thought cuties could be this smart

Good teacherrr for realll!!!

why is the derivative at 14:52 2??? I thought it would be cos2x or somethin :v

Thanks

Is she writing everything backwards

i thought i was the only one who noticed this, but I believe she writes regularly and the video is reflected

Nancy thank you very much, u are a blessing!

Thank you so much. Our teacher explained this in such a convoluted way that I understood none of it, plus it took her a long time to explain, and I understood none of it without even being able to point out what I didn’t understand (since it was none of it). French math teachers are so verbose…

Turns out I managed to forget how to do this in five days only! Thanks brain! THANKS!

Slowly starting to think that my brain likes Eastern Middle Aramaic, not math.

French + Tough ass Calculus = Ugghh

I hate math, but with you it’s us that’s adding up😎

YESSSSSSSSSSSS

“Thank You”, thank you very much ☺️, that was REALLY good 😎

Hit like if you had clicked on the video and directly go to the comment section..😅

Wow my lecturer took 1 and a half hours to teach this🤣

Most beautiful Math teacher in the world. <3 who agrees?

5:36 heard a tummy growl

Thank you for this. So much easier!

cant focus on the topic because of such beauty😍

This is very concise! Also I love the part where it speeds up! Thanks, Nancy!

Thank you so much for your lesson.Even I don’t speak english fluently, your explanation was very clear.

Mam u r so good a person to Learn from… But u r looks are quite catchy…u look so damn good

One of the best videos I have seen on derivatives, well done.

thank you

you did a great job

Nancy you’re awesome. You help me more than my calc professors 😪

what if you had sin^2(3x) do you have to keep taking the derivative of the inside function until you can’t derive anything else

Pretty and smart

Awesome 👏🏻

Can any one tell what if its (x^4/x^2+1)^8 can i use a chain rule with this, please anyone help me

Nancy I know your wizardry secret but I won’t spoil the mystery for others 😉 I would love some more derivatives of trig functions I’m struggling with remembering those. Thank you and you have no idea how much you’re videos have helped me over the years.

Great class!!!

thank you very much

Ah the chain rule, the one rule of derivatives I hate more than anything else.

Same. I am literally in the midst of a mental breakdown

15:00 Why neg. (-)4? I never understood that.

She took the negative 1 from the (-sin2x) and put it in the front since (-sin2x) is the same as (-1)(sin2x)

Nancy thanks for every thing I’ve suggestion plz make parts like (part 01)

thank you

shouldn’t the written stufff be flippped

Hi Nancy, you make it all seem so simple. What if you have cos times pi t sin pi t. I don’t know how to put in the pi sign.

THANKS FOR TEACHING ME THE CHAIN RULE, TEST IS IN 4 HOURS, IM FUCKED LOL

buddy, have you passed it?

@Лейла Ахмедова hell nah brah I’m probably gonna have to retake this shit, all good though, don’t let your memes be dreams

Mam aap London se lagti ho

Thank for your wonderful video! You’re such an amazing, beautiful and mathematics youtuber!

wait a second… how do you write everything mirror-inverted?

Your handwriting backward looks better then my normal handwriting. Sign me up for your handwriting class.

THANKS T.T

You are fantastic. I am in love with Calculus because of you

hello

Really love the video. The expaination was clear enough to understand

Swear, wish you were my teacher. You’re relatable and know how to teach.

growing up all of my math teachers were white males and racist white females. I was considered ‘slow’. but for some reason when i exit the classroom where I was the only black guy that had to get lower grades so that my white peers could look better, all of a sudden math is simple, its fun. But hey even Einstien was thought of as an idiot at math at one point.

The way your caring and nurturing for your audience, really shows the value of females in teaching roles, without ego and truly looking out for the best interest of your students.

In a word thank you.

*and gotta ask…u single?…hahah

I can’t concentrate in the lesson she is soo beautiful

Thank You Nancy

Great videos, Nancy! I bumped into your video when I was looking to help my kid with math. I found the way you have captured the writing with you behind is truly awesome! Could you share how you got this video? Are you using a glass facing the camera (in which case, you will have to be writing in mirror reflection)? Are you using any cool tech / vendor?

Found another youtube video explaining how this was done. The video was shot with the presenter writing on the glass, and the video was horizontally flipped using Windows Movie maker (or equivalent software).

Thank you!

Thank you very much..God bless you.

I’m done of lectures..you’ll always be my lecturer

How do you write?

Thanks for the lesson

My class teacher taught me exactly what you did

Nancy “time is the one thing you can never get back” Pi

Ah yes ten grand a semester to lookup youtube videos online after lectures. Quality education America…

What r u talking about bro? Come to India …. See how we play here

Thanks Nancy!

Than youuuuuuuuu

Does anyone know why it’s -4 at 15:02?

class with her would be so much easier, so hot

Dear Nancy, your presentation is inspiring me to do advanced math again despite I’ve been away from it for nearly 2 decades. Thank you for doing these videos. Simply superb! You should definitely be monetizing this channel more. You deserve it!

Amazing , thank you for these great videos

Shes hot

❤❤❤❤❤❤❤❤❤❤❤❤

Wow thank you so much!

0:22 When she asks herself questions, says “those are excellent questions” and then smiles at her own joke <3

Wow she Is sexy

How is she so cute

you are so beautiful.

You’re my hero

14:55 how the derivative of -sin2x is 2? Its supposed to be -cos2x….right? Someone please explain🤔

just take the inside function as 2x. derivative of 2x is 2.

nancy, you and your mannerisms are like the female equivalent of Harry Miree. quite a good thing, he’s awesome!

The Derivative Calculus of (3x +1)^7 = 21x +1!!!!…. You just can”t throw away the “3” to get (x + 1)^7…. What happened to the “3” , you cannot just throw the “3” into thin Air?!

What a pleasant way to tackle the chain rule. You have a gift, I hope you intend to explore it by sharing it with all of us frustrated calculus students.

when there is -sin2x we took x bcoz of derivative of inside function but y did -sin2x stayed like that wont -sin get derivative

Hey, I thought it would dy/dx of cos 2x was -2 sin 2x am I wrong?

Very good explanation, good job Nancy . Thank you

Can i Marry you?

why do u speak to us like we are 5 years old.

Tinsae Aregawi i don’t see how. Not sure if it’s even possible to explain calculus to a 5 year old; doesn’t matter what kind of vocab you use

For the trig problem Sin(x^2-3x) why wouldn’t it be the product rule if the exponent is 1?

great but didnot full understand double chain rule

You are amazing, thank you

is nobody else amazed at the fact she’s writing this backwards every time???

I hate calc so much

Tu meri maa k saman hai MAA mari RAM RAM

I watched other youtube videoa about calculus, I even tried udemy courses, but non of them have not explained as clear as this lady.

thanks for your help

14:22 Please can someone help me, I was under the impression that dy/dx of cos 2x = -2 sin 2x. However it is written as -sin 2x as if there wasn’t a constant before the x.

Any help would be much appreciated. Thanks.

She put it as (-sin2x)(2) instead of -2sin2x….she was just doing the chain rule in order to give a better understanding.When you go deeper into differential calculus,you would be able to use the chain rule pretty fluently and would shorten the steps.

@alex rider ah yeah I totally missed that (2) at the end thank you.

She’s so pretty

“time is the one thing you can never get back” thank you

youe method is very nice….

Sometimes I wonder what the backstory is here..like..is she held captive in that white room? & her handler comes every so often when they need to make a math video? tosses her a cheeze it and VAMANOS? Hmmm I wonder… @ 5:35 her stomach is growling..MAYBE she does not get cheeze its afterall!! *GASP*

8:51… why arent we finding the derivative of the function again since we arent done? Shouldnt we be multiplying by 2?

does she have the write down the reflected version when she is making these videos?

No… She’s writijg right handed and the video is flipped

Uncomfortable Truth oh that makes sense, thanks

I didn’t know the chain rule was so … Hot!

Comment

to god hasti

I wish you could be my maths teacher I would never bunk any of your lecture

You are sexy

Nice video Gal Gadot

thank you 🙂 any CMA students here?

I never thought I would fall in love with a teacher 😍

Stop ogling!

@beverly francis I’m NoT OGLing, I’m appreciating beauty

I’m Soon gonna fall in love with maths

Great explanation

Did I just understood ? 😱

thank you so so much 😭😭😭

one thing i love about Nancy, is that she simplified math esp calculus i am a kenyan who feared math but now i can tacle hard looking math i now love maths thanx nancy

It was very helpful. Thank you

Bella e brava!

Thank you soo much

Damn – Nancy writes better backwards than I do forwards! The fact she can also read it backwards whilst explaining the concepts…. Mind blown!

Thanks for making this math video

“You don’t have to like math but You can Like my video”. I hire You Madam to do the Sales For Me.

Do you write backwards on that board so we see your work normally??

You truly are legendary. Great teacher

#finalsgang …. anyone else?

Chain rule is my friend

Excuse me, can you tell me what board are you using? It is so great!

Wow youre amazing nancy thank you for helping us i really feel intrested and confident thanks again 🙏🙏🙏🙏

🙌i feel like i have prepared enough for my exams this semister after watching nancy’s videos …may God bless you🙏

@15:00 how come you have -4 (1+cos 2x) sin 2x ?? Why is it not 4(1+cos 2x) (-sin 2x) ??

You’re amazing💛thx

my exam is tomorrow..Where the hell i have been this long..finally kinda liking maths..what took u so long Nancy. You are really a life saver. THANKS FROM HEART

What kind of sorcery is this… how did she wrote that?

i love you queen <333333

mam u are very cute

Renu Agarwal mam please go and shit on the streets you fkin indian creep

Best explanation I’ve watched. Thanks!

I wonder if she right or left handed

Lol

Thank you miss 🙏🏼

I think it would be helpful to show why you don’t need to do anything else if you just have x in the parenthesis by just mentioning that the derivative of x is 1 anyway. You can still use the chain rule here, but obviously you’ll quickly learn that you’re done after the first step.

teacher can make a video about Taylor series ?

Wrong answer

Priyanka Medhi your mom

@Frédéric Chopin what ??

I like the not looking at notes to write equations. I need that skill.

I’m supposed to be revising maths but all I can think about is how she’s writing on the board. Do you write backwards!?!?

Yup me too. Lol

ok

Thanksssss i love you..🥰🥰🥰

Is there even a single male viewer who actually clicked for the lecture?

There was a lecture?

Me

Yes man…

Thank you for the excellent content! It helped!

She’s so beautiful

Obed Hamed fkin creep

Derivative 🤤

is there any one rule that can solve all derivatives

Please someone tell me when i should stop derivating

When you stop derivating ?

I suck at maths….

you have solved the equation what is it applied to pray tell

all the way from Kenya, i love how you do it Nancy.thanks

Thanks for the wonderful vid. Now I can teach the chain rule w/ ease. And I’ll recommend my studs to watch your vids also. 😉

I thought you were writing on the camera 😅

hahahaha .mujy sab samj a gya is ko dakh k…..

i’ll use the math you taught me to build a cloning machine, i’ll your DNA code and that’s it

Thanks a lot……

How lovely and Classy

Can I just marry you? jk

How to make video with text like you? please tutorial me,

Thanks bud

Maths was never this interesting to me. You are lovely ‘nancy’!

dy/dx = dy/du x. du/dx

wow i’m so gay

Damn you are hot🔥

Ma’am i wont lie i never had any interest in calculus but after Wathcing yur vedio i jus feels like calculus is my thing i thank you very much for such a nice lecture may yu live long and keep on teaching us 😍😍

I was very embittered by your videos at one time, but it was not your fault and I am sorry for being verbally abusive! I have a very serious mental illness and I am just a bitter, poverty stricken 52 year old who lacks responsibility, compassion and respect! Your videos are very helpful to be honest and thank-you for helping me to study math to get my mind off of my problems! Have a nice day…

❤

Chain rule ايه؟

هاتي بوسة يا بت

Damn! It is very difficult to concentrate on the board😩

Whenever I need to brush on a topic, I type eg “chain rule Nancy” and 💥.

Thanks Nancy.

That’s the reason why people fail in Maths always, highering a female teacher with a beautiful voice and amazing figure with a gorgeous face how can someone focus on Derivative Result Fail… 😛

if u were my teacher my attendance in school would be 100%

Am in love and i now need a white woman to marry…..am seriuose no joke

The double chain rule – is still left with a sin2x. How do you know whether to carry on with that or not?

Why do u look tired…

Hello dear lecturer I realy not understand you methods ,you should write on the board slowly , dont do machine fast

My Allah make me to be understand mathematics

What of questions like x cubed (1 plus x) squared

And also ( x-2/x)squared

I like the life lesson at the beginning, ;DDDDDD

can you do more complex/longer problems? I get those small problems, but when it comes to the longer more complicated ones they get tricky.

Hiee maam I’m from India……

I like your teaching……….tnx……

miles better than eddie woo

any video for the differentiation of a trignometric functions????????

A very wise physicst told me that introducing a bunch of rules is bad. He managed to teach me dervitives very quickly!

my concentration is distract to your beauty lol but i understand clearly

I’m so dam stupid!

What type of job would you actually use this form of math. Serious question?

how does she write infront of her the right way round, so we see it correctly. no matter how many videos i watch i dont get it, thats harder to figure out than the calculus…

Thank you NancyPi 🙂

Nice video

How to differentiate sin3x

Omg ur so hot

I understood clearly

This was very useful, thank you!

wow amazing NancyPi

Why couldn’t my math teachers in school have been this gorgeous? I would have been another Einstein!

Sc?

“time is the one thing you can never get back”

Well this shit just got real.

ماشاء الله بنت جمييله شرح وينه ايام الجامعه تف عليك ي اسماعيل ابو قفه

Thank you Nancy Pi for being so talented and smart, she can write backwards and teach me derivatives at the same time ughh 🥺❤️

How can I learn to be left handed without misjudging and damage myself?

‘the Chain Rule is your friend…’ brilliant!

your chain rule video beats the Khan academy intro to chain rule. thank you, good job

Why’s it negative 4 at the end?

Omg how can you memorize all that shit ?

This was extremely helpful, and I am sooooo thankful!!!!

It’s been 3 years already since i watched Nancy’s videos.

Thanks a million times. You made me love math. graduation bells about to ring💖. Just had to come back and say thanks.

THANK YOU NANCY!!

I only watch her videos because she is hot, i already know the math 😀

If you were my woman, I’d never use the CHAIN rule. I’d be to jealous. LOL GET IT? 🙂

y = sin(x^2). Let u = x^2. du/dx = 2x. dy/du = Cos(u). (dy/du)(du/dx) = 2xCos(u) = 2xCos(x^2)

turned it into a philosophy lesson real quick

Get this comment to 1,000 likes for a behind the scene video !!! BTW, Nancy, you’re the absolute best !!

wow, i know have a bettur understanding of the chain rule u wifey material

marry me, sweet teacher!

I m more intrigued to the way you write on that glass than what you explained! You certainly are unique!

❤️😊💯

You seriously write backwards?

Just use substitution.

excellent teacher!!!! God Bless you Miss Beautiful. i learn a lot

this is quality content

You have make my calculus concepts so easy for me Nancy.

Thank you for this vid. What I don’t understand is why there’s no need to take the derivative of (1+ cos(2x) ). cos(2x) is a composed function, so can’t we apply the chain rule three times, to break it down? Also, I’m afraid I do not understand how you moved from -sin(2x) to 2. Thank you so much for all the help you provide!

so helpful, thank you

Does she have dyslexia? How does she write like that

I do like math, but you make it even more enjoyable! Thank you and keep up the good work

I too am a lefty that loves math. Want to go out?

R u an MIT graduate?

How do you film like that?

Taking Calculus online for school and my E-Text referenced this video.

Very well done on their part

Explained well

This video was so helpful! I was struggling to understand this

Thanks for videos such as this… I was practicing this topic and had to do some revisions and it helped a lot.

Once again, thanks! 🙂

Thank you soo much!! You saved my butt 😅♡♡

She’s left-handed 🤚

Thank you Nancy ❤️

you are a life saver

Awesome explaination Ma’am 🥰🥰🥰🥰🥰🥰

Nancy you’re a star.

Excellent job! The only explanation that helped me get it! Your videos are helping me immensely.

My crush ,good job

Excelente Nancy.

Very Good

I understand it very well

Thanks so much for this

subscribed.

woah wait whats happening ur writing on the screen backwards or its showing us flipped … lol this is funnny

Thank you Nancy – you are incredibly gifted

How is precalculus different from calculus?

You’re gorgeous and sweet

“Zeit ist das Einzige, was man niemals zurückbekommen kann” Trotzdem habe ich fast ein Semester ohne dich Mathematik studiert …

Hi,chain broken,thee be free,here,thanx,bliss, XAMichael XAMBUNJILOM

WOW! You are amazing! Thank you so much.

I’m really confused by whether she’s writing backwards on the glass cause if not, how are the letters not looking flippedddd??????????????

NP, so i notice you write almost exclusively in hi-speed mode, other than when drawing simple “=” or “( )” symbols and the like. is that because you are really behind the screen and would have to write backwards, or are you employing some black-magic trickery that i’m unaware of?? 🙂

Thank you! I appreciate your thoroughness.

I still don’t need to learn this , but………….

great explanation

beauty with brains

Honestly that intro … *“and time is the one thing you could never get back”* drove me into my yearly call for action, outside the abyss of existential dread my mind loves to ponder. So consumed calculating my next moves I became standstill. . . Crazy how seemingly simplistic life sayings tend to hold such strong valuable life lessons that aren’t truly appreciated until life demonstrates its intricate multiple leveled dynamics in regards its importance throughout the course of our existence 😐

Hummm mm bro i feel ya

Someone isn’t paying attention to the video

thank you so much.

Really made my concept crystal clear when to use and how to use the chain rule.I really appreciate your efforts.

I did Multiply the power First with the y coficent. I am not clear with it well. I think your explanation is good for me and well understandable. Thanks a lot Nancy You tube is helping me greatly to work on my pre calcuse class even though I never took it to my former college never Well You tube is playing great role into my life and brain to understand all those work and all those functions. Thanks once more again miss Nancy. I am still trying to work on it.

6:11 She said YES!

how does she write backwards

is she writing backwards….

oh I’m inlove…with calculus of course

you look cute😅😅😅

Nice lesson, more thanks. This times I work on chain rules for derivative of complex functions. Best regards.

2 + 2 = I’d like to be with you

Everyone-Emily or Cinnamon?

Me-Chain rule or no chain rule

YEAH I’M A NERD.

Super nancy thanks from Germany

Thanking you for the great help from India 🥺🤗

Thankyou

Thank you for your help 🙂

It is my 100 perfect score for calculus

I love chain rule find dy/ dx

Y = ( 3x+1) and exponent of 7. What is chain rule with this find the derivative of ( 3x+1) and exponent of 7

Dy

—— = 7 ( 3x+1) with exponent of 7

This a derivative

Dy

____ the exponent was

Dx was called derivative this is was its look 7 ( 3x+1)six -(3)

Dx

Dy

—–7 ( 3x+1)six- (3)

Dx

Were using multiplication 7×3=21 you cant change this form just copied

Dy

—- = 21 ( 3x+1)six

Dx

Exponent always addition

X squareor dis(x2) 1x+1x= is x squared even of more.

Its me je from marikina.

thanksssssssssssssssssss

asmr + math!

didnt understand double chain rule

Nice teaching…

I don’t watch these vids for the math

This helps so much during online learning because of COVID-19 🙂

Nancy, weldone. The video was and is very simple to understand. My students found it really interesting and liked it, meaning that its helpful. Thank you.

If you had a way to change time in such a way that the horrible things in this world would just disappear, then would you do it?

I would.

oh my god,, yau writes on the wrong side, with left hand🤔🤔

1. After Find the slope (derivative)

What do you want to achieve

2.Use of slope

How can you be so intelligent and pretty at the same time?…..Well, I’m jealous………….Love from India….

Reason to watch her video ~nice explanation

No there is another !

how do you write backwards? (left-handed too!)

Are you? Mslm?

Thnx Nancy I was wondering would I even learn chain rule ever even my Indian profs couldn’t put it this lucidly thnx again

By the way what is”In5x”

you explained this so well, thank you nancy!

I would more precisely define what outside and inside can be and is.

The best teacher I have seen 🌹

Find the hypotenuse of right angled triangle whose sides are 6.03 and 7.96 … use the chain rule for function of two variables ….. Madam can you help me with the solution of this question?

Hi Nancy, how do you write on the screen?

thank you!

Thank you! This is the first I’ve seen of you and this was really easy to follow and understand. I’ll find some more of your videos now.

You have saved my ass so many times, thank you

I’d go to class ever day if she was my lecturer .

So we need a MIT Grad …. for just “a chain rule” . It’s Funny . You are Funny and your audience is funny …

After MIT what will i Do…….. i will make a video on chain rule …LMAO…XD

Hi… Umm.. can you please explain how (-sin2x)(2) turned just into sin2x and why the 2 in front turned to -4? I’d really appreciate it

Thanks a lot! Really helpful! U are a good teacher 😄😄😄

How does that text thing on mirror work?

I have a final exam for my Saturday math school, and I’ve been just watching your videos to review. I really want to thank you from my heart. 🙂

The pink highlighter is kinda soothing and satisfying

“you don’t have to like math, but you can like my vid” I already did that at the begging of the vid

Hi Nancy.

Hey Nancy lovers let’s send Nancy our love…. Just add a comment by typing

*LOVE FROM your country name here*

As I m sending my love ….👇

LOVE FROM INDIA💝

i am here in 2020 and keep watching her smile.

I love this video

Really you switched my mind

Is there a reason on number 2 that you don’t need to simplify it fully like the first example?

Looking beautiful

Please help with derivative of tric🙏your explanation is super❤!

Mam this is my request please make

Subtitles for our good understanding

Wow you are really good at writing backwards , it even looks better than my handwriting when I write forwards!

i think its deravite of x^n = n*X^(n-1) –>x to ax+constant –> a*(ax+constant) its bit confusing

chain rule is for double functions of respective derivative .thanks for informative video

Shes so good at writing backwards

Thank you very much,I was struggling in this chain rule wish we had teachers like you.

Love from India.

Awesome explanation, easy to understand.

Dear Nancy

At 8:48 , Answer can be (18x+45)(x^2+5x-6) ^8.

Plz give the concept of sin ²x+cos it=π

thank u nancipy

Nancy may you please make a video on partial and complete defferention

Rather defferentiation

That was a great transition into the “like and subscribe” thing! Also, excellent video! My calculus book is long and complicated and doesn’t provide good examples, but this cleared it all up!

It feels weird when you write on that glass; the glass is so clear that it feels you are writing in the air.

Hi Nancy. Can you help me in solving this using chain rule? It would be a big help. I just can’t solve these 😭

1. √lnx(x)-√1+ln(x)

2. √√1-sin(x) + sinx

Keep on the good work

It is fantastic when persons like you, have a pleasure to help others, the sounds of your voice sounds like music, has charm to teaching, thanks a lot!.

You are just the best!

Thank you so much!

Thx so much! Teacher is teaching for hours and hours and I can’t focus because it takes tooo long. This short video gave me more information than her!

Hello friends

Channel-

Maths Class Pawan Kumawat Sir

Tecnically you always use the chain rule. It’s just that the derivative of the inside may be 1.

Grately thankful.it is just Wooo

6614931481 comment allez vous MADAM

perfection speaks itself

Thank you, this helped a lot!!

5:36 somebodys hungry huh hahaha

Thanx nancy Gotta feels like I am again studying maths you really helped me a lot I was a maths nerd one year before. your videos are like life saver for me so I think to give you big thanx just bcoz of you I did best in my final exam of college and now I got a job in Microsoft in California as a data scientist you make my life

You are so talented. Keep it up

Your expressions eye contact each nd everything is pretty and perfect dear Nancy..

lucky americans y’all have a choice if you take calculus or not

After 3 Videos of yours, I feel like I’ve learned MORE than in an entire Semester!!

I’m also staggered by how you write SO well, BACKWARDS!! 😲

I am professor in college and don’t know what I am doing here

make a video on Normalization

Your teaching style is really amazing

16:13

Stop lying to us Nancy😁

You’re the best teacher ever🤞🏿

Now, I love calculus more because of you.

Is she writing backwards on a glass ???? Guys, I’m so confused ?!?!?!?!?! 🤔

Getting bored in lockdown

I thank God the day I came across your channel. I love how you make these things look so easy. Thank you Nancy ❤️. You are a truly amazing teacher

Marry me

hello madam iam from kerala (india ) your videos help me a lot thank you miss

9:41 i think I’ve heard that line before but not from this tube…

Thank you so much 🙂

my physic professor came with 1 marker and write bunch of physic formula and then left.

This is good and shit she’s hot.

Amazing

Gotta say, she’s pretty amazing.

Thanks for uploading. it’s worth watching

For the last problem. Shouldn’t it be positive 4? in 2(1+cos2x)(-sin2x)(2) and not -4 since your multiplying by two positive 2s…..

Don’t fall for her whenever she says it’s the last type of derivative.

You have to watch the whole video.

I never believed that beutiful people could do Math😂