Answer
$\frac{dy}{dx}={3}{(\sqrt{(2x+1})}$
Work Step by Step
given $y=(2x+1)\sqrt{((2x+1))}$
$y={(2x+1)^\frac{3}{2}}$
on differentiating both sides:
$\frac{dy}{dx}=\frac{d{(2x+1)^\frac{3}{2}}}{dx}$
$\frac{dy}{dx}=\frac{3}{2}{(\sqrt{(2x+1})}{\frac{d(2x+1)}{dx}}$
$\frac{dy}{dx}={3}{(\sqrt{(2x+1})}$
