# Chain rule review

Review your knowledge of the Chain rule for derivatives, and use it to solve problems.

## What is the Chain rule?

The Chain rule tells us how to differentiate expressions that are the composition of two other, more basic, expressions:

Basically, you compose the derivative of with , and multiply it by the derivative of .

*Want to learn more about the Chain rule? Check out this video.*

## What problems can I solve with the Chain rule?

### Example 1

Consider the differentiation of . Notice that if and , then .

### Check your understanding

*Want to try more problems like this? Check out this exercise.*

### Example 2

Suppose we are given this table of values:

is defined as , and we are asked to find .

The Chain rule tells us that is . This means is . Now let's plug the values from the table in the expression:

### Check your understanding

*Want to try more problems like this? Check out this exercise.*