# How do you differentiate #f(x)=2ln(1/x)^2# using the chain rule?

##### 1 Answer

Feb 16, 2016

#### Explanation:

Given equation is

From standard logarithm equations, we know that

So by shifting the indices, we get

We now see that the differentiation need not even need chain rule, hence the given derivative becomes

But, if still only chain rule must be applied, then differentiate it nonetheless as such

So in the end, simplification ends to the same method as given above.