# How do you find the derivative of 1/x^4?

Dec 12, 2016

$- \frac{4}{x} ^ 5$

#### Explanation:

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

Applying the power rule:

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

$= - \frac{4}{x} ^ 5$