# What is the power rule derivative?

Apr 3, 2018

$\frac{d}{\mathrm{dx}} \left({x}^{n}\right) = n \times {x}^{n - 1}$

#### Explanation:

The derivative of ${x}^{n}$ is $n \times {x}^{n - 1}$

Here is an example:

$\frac{d}{\mathrm{dx}} \left({x}^{5} + {x}^{2}\right) = 5 {x}^{5 - 1} + 2 {x}^{2 - 1} = 5 {x}^{4} + 2 x$