# What is the derivative of -5/x?

Aug 17, 2016

$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{5}{x} ^ 2$

#### Explanation:

Let

$y = \frac{- 5}{x}$

This can be written as -

$y = - 5 {x}^{-} 1$

$\frac{\mathrm{dy}}{\mathrm{dx}} = 5 {x}^{-} 2$

$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{5}{x} ^ 2$