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

##### 1 Answer

Feb 17, 2016

#### Explanation:

To do this we need the chain rule.

First we find the derivative of the function inside the cot function. Remember

Also the derivative of

The chain rule states that:

So we take the derivative of the inside and multiply it by the derivative of the outside. We found the derivatives, we just need to multiply to get: