# How do you differentiate #f(x)=sqrtcos(lnx^2)# using the chain rule?

##### 1 Answer

Nov 9, 2015

#### Answer:

found:

#### Explanation:

Here, basically, you have 4 functions one inside the other! Starting for the most "external" you have:

the square root or

To derive you start from the outer one (the square root) and subsequently multiply by each derivative up the inner one (colored).

So:

given:

rearranging: