# What is the derivative of x/2?

May 3, 2018

$\frac{1}{2}$

#### Explanation:

$\left(\frac{x}{2}\right) ' = \frac{1}{2} \left(x\right) ' = \frac{1}{2} \cdot 1 = \frac{1}{2}$

May 4, 2018

$\frac{1}{2}$

#### Explanation:

Given: $\frac{d}{\mathrm{dx}} \left(\frac{x}{2}\right)$.

Notice how,

$\frac{x}{2} = x \cdot \frac{1}{2}$.

$\therefore \frac{d}{\mathrm{dx}} \left(x \cdot \frac{1}{2}\right)$

$= \frac{1}{2} \frac{d}{\mathrm{dx}} \left(x\right)$ because we can take out the constant.

This is a trivial derivative, where $\frac{d}{\mathrm{dx}} \left(x\right) = 1$.

$= \frac{1}{2} \cdot 1$

$= \frac{1}{2}$