# How do you differentiate #f(x)=e^(4^(1/(x^2)))# using the chain rule?

##### 1 Answer

Nov 11, 2015

I read this as

#### Explanation:

The derivative of

So the first step gives us:

The derivative with respect to

So our second step gets us:

And the third step gets us:

We can clean this up a little bit:

# = -2/x^3 4^(1/x^2)e^(4^(1/x^2)) ln4#

Other expressions are also possible.