# What is the second derivative of #f(x)=cot(3x^2-x)#?

##### 1 Answer

**First derivative:**

Use the chain rule, which states that

Thus,

**Second derivative:**

Use product rule in conjunction with the chain rule again.

When doing chain rule with the cosecant function squared, the overriding issue will be the exponent, and then the cosecant.

Find each derivative.

Plug both the derivatives back in to find

This can be further simplified, if you want: