# What is the derivative of sqrt(e^x)?

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