# 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))

### Extreme derivative word problem (advanced)

VIDEO
23:13 minutes

A difficult but interesting derivative word problem