# What is the derivative of x/2?

Jan 9, 2016

$\frac{1}{2}$

#### Explanation:

This function can be expressed as $\frac{1}{2} x$.

Just as the derivative of $4 x$ is $4$, the derivative of $\frac{1}{2} x$ is $\frac{1}{2}$.

You can also to this through the power rule:

$\frac{d}{\mathrm{dx}} \left[\frac{1}{2} {x}^{1}\right] = 1 \left(\frac{1}{2}\right) {x}^{1 - 1} = \frac{1}{2} {x}^{0} = \frac{1}{2}$