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