# What is the derivative of #f(x)=sin(1/lnx)#?

##### 1 Answer

Jan 26, 2016

#### Explanation:

We need to use the chain rule.

First, we can rename the function to make the calculations easier. So, we have a few functions called:

where

and

So, the derivative of

We calculate these derivatives:

The final expression is the multiplication of them and the substitution of their previous definitions: