Derivatives of Composite Functions: The Chain Rule

Now we know how to take derivatives of polynomials, trig functions, as well as simple products and quotients thereof. But things get trickier than this! We may want to take the derivative of a composite function, where some function is operating on some other function. How can we do this? With the chain rule! It's easier than you think, I promise.

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!

[kavyahegade]

Before watching : I know nothing about calculus
After watching : Wow, learning becomes easy when the tutor is amazing

[justlearning]

Thanks again Professor Dave! This was hurting my head a LOT from a text book but the colour sequencing and accompanying talkover is really helping me!

[lorraine]

Professor Dave, you are an excellent teacher (and easy on the eyes, too). Thank you for your elephantine effort here on YouTube...it's inspiring to a fellow (aspiring) polymath what your ambitions for this channel are. Bravo!

[nicoleodonnell]

Wonderful! I'm starting a tutoring job later this month, so I'm reviewing all of calculus with your videos.

[adenpower]

Really well thought out and really well structured. Thanks as always.

[jeonwoonikki]

Thank you so much for this! Your simplified explanation makes it easier for me to understand.

[siyabongampengu]

Wow, you made that look so simple. Best teacher ever!!! 👌🏾👌🏾👌🏾

[rakchicboi]

Before this I even didn't known the calculus but I watched all of your videos and know calculus very well as it is taught to my mind not to me now I am going to give JEE Mains and Adv and I think I am fully sure to solve these type of problems

[summerbreeze]

THANK YOU PROFESSOR DAVE
I got a math test on this and I was out the entire chain rule unit so YOU COMING IN CLUTCH

[harlbertmayerh]

Now I can feel how powerful YouTube is, we can trade big with big

[MATOOwasTaken]

Got a different solution on the last comprehension exercise and thought I misunderstood and got it wrong, turns out I just didn't finish simplifying it (forgot to multiply the (x^2)(5x^4)) to get (5x^6). But I probably wouldn't even have gotten close without this video, so I really gotta say, great explanation!

[SamnissArandeen]

The Chain Rule is about where my ability to learn calculus in high school and college petered out. Thanks to this tutorial (and a better understanding of recursion in general, plus playing with "chains" in Yugioh), I now fully understand differentiation. Thanks!

[Kiky_MedPhysicist]

Thank you sir for your dedication and for making this free! 🙏

[UnkownUnkown]

If Dave was my teacher the only thing that would motivate me enough to come to school was just that he would be teaching and actually make the subject interesting

[amrelsayad]

Thanks alot for your effort
Egypt😊😊😊😊

[harlbertmayerh]

This is seriouslyyyy the best of the best, even you can't feel what I feel anymore, I am so happyyy omg

[umabalaraman]

Great explanation. The comprehensions are awesome.

[vunguyen]

Chain rule so easyyy! Thank you very much!

[JacquelineBartholomew]

thanks you may as well have saved my life i love you

[YabetseYoseph-meiw]

May God bless you bro you are a real genius teach your help has become successful in my maths and chemistry grade