# How do you differentiate #f(x)=(cot(x))^2 # using the chain rule?

##### 1 Answer

Jan 23, 2016

#### Explanation:

Use the chain rule. The first issue here is the second power. According to the chain rule,

#f'(x)=2cot(x)*d/dx[cot(x)]#

The derivative of

#f'(x)=-2cot(x)csc^2(x)#