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

Find the first and second derivatives and use them to test for maxima and minima on the given interval. Remember to check the endpoints!

* *over

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 extrema candidates where . Remember to only consider candidates within the given domain:

[show steps]

Find more extrema candidates where DNE. In other words, where is

*y*non-differentiable? Are there endpoints, jumps, holes, cusps or vertical tangents? If so, these are extrema candidates. There are endpoint candidates at

*and*

*.*

Test each candidate to see who has the most extreme (highest and lowest) -values.

The 'winners' are the global max and the global min.

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