# How do you find the derivative of x^2/5?

May 2, 2016

$\frac{2}{5} x$

#### Explanation:

To differentiate this using $\textcolor{b l u e}{\text{ the power rule}}$

$\frac{d}{\mathrm{dx}} \left(a {x}^{n}\right) = n a {x}^{n - 1} \text{ rewrite" x^2/5"as follows}$

${x}^{2} / 5 = \frac{1}{5} {x}^{2} \text{ which is now in suitable form}$

$\Rightarrow \frac{d}{\mathrm{dx}} \left(\frac{1}{5} {x}^{2}\right) = 2 \times \frac{1}{5} {x}^{1} = \frac{2}{5} x$