# What are the absolute extrema of #f(x)=x-sqrt(5x-2) in(2,5)#?

##### 1 Answer

#### Answer:

There are no absolute extrema in the interval

#### Explanation:

Given:

To find absolute extrema we need to find the first derivative and perform the first derivative test to find any minimum or maximums and then find the

**Find the first derivative:**

**Find critical value(s)**

Square both sides:

Since the domain of the function is limited by the radical:

We only need to look at the positive answer:

Since this critical point is

This means **the absolute extrema are at the endpoints**, but the endpoints are not included in the interval.