# Thread: Finding local max and min

1. ## Finding local max and min

Find the absolute maximum and absolute minimum values of the function
on each of the indicated intervals.
Enter None for any absolute extrema that do not exist.

(A) Interval = .
Absolute maximum =

Absolute minimum =

(B) Interval = .
Absolute maximum =

Absolute minimum =

(C) Interval = .
Absolute maximum =

Absolute minimum =

I am really stuck on this. I even graphed it and couldn't get the right answer. Some help?

2. What is the procedure for finding absolute extrema for a continuous function on a closed interval?

3. do the derivative and set it to zero.

Do the second Derivative and check to see if it is concave up or down right?

4. I would say you don't even need to worry about the second derivative, since you are doing absolute max and min. If you were doing relative max and min, you would need the second derivative. Just find the critical points (places where the first derivative is zero, like you said, or where it does not exist). Then evaluate the function at the critical points and at the endpoints of the interval. Then what?