Applications and Examples

Graph Does the function appear to have an absolute minimum value? Confirm your answer with calculus.

Step 1 of 3</p>

In this problem, we have to graph the function and find absolute minimum value.

Step 2 of 3</p>

We have

Differentiating with respect to , we get

For the critical points, we need to solve

.

Also changes the sign from negative to positive at .

Therefore the absolute minimum occurs at and the value is .