# How do you find the derivative of 2x-1?

Mar 2, 2018

$2$

#### Explanation:

Subtraction Derivative rule:

$\frac{d}{\mathrm{dx}} a - b = \frac{d}{\mathrm{dx}} a - \frac{d}{\mathrm{dx}} b$

Here, we can substitute:

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

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

$\left(2 x\right) ' = 2$
$\left(- 1\right) ' = 0$ (the derivative of any constant $= 0$)

So:

$\left[2\right] - \left[0\right]$

$= 2 - 0$

$= 2$

Thus, solved.