Question

How do you find the derivative of `u=e^(e^x)`?

Answer 1

Apply the chain rule.

Explanation:

The chain rule states that

`"d"/("d"x)"f"("g"(x))="f"'("g"(x))*"g"'(x)`.

Let `"f"(x) = e^(x)`, `"g"(x)=e^x`.

Then,

`"d"/("d"x) e^(e^(x))=e^x*e^(e^(x))`.