# What is the derivative of e^sinx?

$u = \sin \left(x\right)$
Derivate will be $u ' \cdot {e}^{u}$
$\left(\sin \left(x\right)\right) ' = \cos \left(x\right)$ $\to$ Rotation of $\frac{\pi}{2}$
Finally $\left({e}^{\sin} \left(x\right)\right) ' = \cos \left(x\right) \cdot {e}^{\sin} \left(x\right)$