Question

Differentiate

$x\sqrt{x}$

Answer 1

$\frac{d}{dx}\left(x\sqrt{x}\right)$

$=\frac{d}{dx}\left(x\right)\sqrt{x}+\frac{d}{dx}\left(\sqrt{x}\right)x$

$=1\cdot \sqrt{x}+\frac{1}{2\sqrt{x}}x$

$=\frac{3\sqrt{x}}{2}$