Find the derivative of e^{(e^x)}

by RoRi

November 10, 2015

Find the derivative of the following function:

$f(x) = e^{\left( e^x \right) }.$

Again, we use the chain rule and the formula for the derivative of the exponential,

$f'(x) = \left( e^x \right)' \left( e^{\left(e^x\right)} \right) = e^x e^{\left(e^x\right)}$

Stumbling Robot