# What is the derivative of sqrt(2x+3)?

$\frac{d}{d x} \sqrt{2 x + 3} = \frac{2}{2 \sqrt{2 x + 3}} = \frac{1}{\sqrt{2 x + 3}}$
$\frac{d}{d x} \sqrt{u} = \frac{\frac{d}{d x} u}{2 \sqrt{u}}$
$\frac{d}{d x} \sqrt{2 x + 3} = \frac{2}{2 \sqrt{2 x + 3}} = \frac{1}{\sqrt{2 x + 3}}$