# How do I find all the critical points of #f(x)=(x-1)^2#?

##### 1 Answer

See the explanation.

#### Explanation:

The critical numbers for a function

For

**Find #f'(x)#**

We can use the power and chain rule to get:

Or we can expand

**Find the critical numbers for #f#**

Either way, we see that

The "critical points" are (most commonly), the same as critical numbers.

But some use a **variant terminology** in which critical points are points on the graph, so the have both

If you are in such a situation, you need to find