# How do you find the critical numbers for #root3((x^2-x))# to determine the maximum and minimum?

##### 1 Answer

The critical number is

#### Explanation:

First we take the derivative using the chain rule, to make things easier for us we rewrite the problem using powers.

Now we apply the chain rule we take the derivative of the outside and multiple it by the derivative of the inside. It's important that you know the power rule.

Now we rewrite it:

Set it equal to zero and solve:

We are left with:

Solve:

By looking at the graph you can see that

graph{(x^2-x)^(1/3) [-1.912, 4.248, -1.023, 2.057]}