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

Jun 4, 2016

$\frac{d}{\mathrm{dx}} {e}^{\sqrt{x}} = {e}^{\sqrt{x}} \cdot \frac{d}{\mathrm{dx}} \sqrt{x}$
$= {e}^{\sqrt{x}} \frac{1}{2 \sqrt{x}}$.