# How do you differentiate #f(x)=cos3x^(1/3)# using the chain rule?

##### 1 Answer

Jul 16, 2016

#### Explanation:

The chain rule for derivatives states that

In our case, we have

Thus, by applying the chain rule, we get

Simplifying this expression further yields

#= -(sin(3x^(1/3)))/(x^(2/3))#