# What is the derivative of this function #-1/(sin(x))^2#?

##### 1 Answer

Dec 3, 2016

#### Explanation:

This function can be written as

We let

Recall that the chain rule for derivatives of composite functions states that

#dy/dx = 2/u^3 xx cosx#

#dy/dx = (2cosx)/(sinx)^3#

By the identities

#dy/dx = 2cotxcsc^2x#

Hopefully this helps!