# How do you graph the derivative of f(x) = x(x-1)?

Jun 2, 2018

graph{2x-1 [-10, 10, -5, 5]}

#### Explanation:

First, take the derivative. You can either use the product rule or multiply the products together first. I will do the latter.

$f \left(x\right) = x \left(x - 1\right)$
$f \left(x\right) = {x}^{2} - x$
The derivative of ${x}^{n}$ is $n {x}^{n - 1}$
$f ' \left(x\right) = 2 x - 1$

Then graph the derivative: graph{2x-1 [-10, 10, -5, 5]}