Show that $\frac{\mathrm{d}}{\mathrm{d}x} (x^2\sqrt{x+2})$ can be written in the form \(\frac{kx(5

Question

Show that $\frac{\mathrm{d}}{\mathrm{d}x} (x^2\sqrt{x+2})$ can be written in the form $\frac{kx(5x+8)}{\sqrt{x+2}}$ and state the value of $k$.

Accepted Answer

$k=\frac{1}{2}$

Differentiation