Question

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

Answer 1

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(x)=x(x-1)`
`f(x)=x^2-x`
The derivative of `x^n` is `nx^(n-1)`
`f'(x)=2x-1`

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