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

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Answer 1 · 2018-03-02T14:00:18

$2$ $2$

Subtraction Derivative rule:

$\frac{d}{d x} a - b = \frac{d}{d x} a - \frac{d}{d x} b$ $d/(dx)a-b = d/(dx)a - d/(dx)b$

Here, we can substitute:

$\frac{d}{d x} (2 x - 1)$ $d/dx(2x-1)$

$= [\frac{d}{d x} 2 x] - [\frac{d}{d x} - 1]$ $=[d/(dx)2x]-[d/dx-1]$

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

So:

$[2]-[0]$

$=2-0$

$=2$

Thus, solved.

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