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

Jun 10, 2017

Apply the chain rule.

#### Explanation:

The chain rule states that

$\text{d"/("d"x)"f"("g"(x))="f"'("g"(x))*"g} ' \left(x\right)$.

Let $\text{f} \left(x\right) = {e}^{x}$, $\text{g} \left(x\right) = {e}^{x}$.

Then,

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