### Home > APCALC > Chapter 6 > Lesson 6.2.1 > Problem 6-63

6-63.

Write the first and second derivatives for the function below and use them to test for extrema over the given interval. Remember to check the endpoints!

This problem is asking you to find EXTREME VALUES on a closed domain.

Extreme values (global maxima and global minima) can exist where or where

*DNE.*

Find the first and second derivatives. Locate extrema candidates where . Remember to only consider candidates within the given domain:

Therefore,

Find y(0.588). This would be a local maximum. Find the y-value of each of the endpoints. Now determine the extrema.