Chain rule

1 article
10 videos
4 skills
You can take the derivatives of f(x) and g(x), but what about f(g(x)) or g(f(x))? The chain rule gives us this ability. Because most complex and hairy functions can be thought of the composition of several simpler ones (ones that you can find derivatives of), you'll be able to take the derivative of almost any function after this tutorial. Just imagine.

Derivatives of sin x, cos x, tan x, e^x and ln x

VIDEO 3:44 minutes

Special derivatives quiz

PRACTICE PROBLEMS
See if you remember the five derivatives from the previous video.

Special derivatives

PRACTICE PROBLEMS

Chain rule introduction

VIDEO 5:07 minutes

Chain rule definition and example

VIDEO 5:31 minutes

Chain rule for derivative of 2^x

VIDEO 4:48 minutes

Derivative of log with arbitrary base

VIDEO 2:47 minutes

Chain rule example using visual function definitions

VIDEO 5:25 minutes

Chain rule example using visual information

VIDEO 3:56 minutes

Chain rule on two functions

PRACTICE PROBLEMS

Chain rule with triple composition

VIDEO 4:52 minutes

Derivative of triple composition

VIDEO 7:08 minutes

Chain rule on three functions

PRACTICE PROBLEMS

Chain rule overview

ARTICLE
If you know the derivatives of f(x) and g(x), the chain rule let's you compute the derivative of f(g(x))