### Home > APCALC > Chapter 6 > Lesson 6.2.1 > Problem 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! Homework Help ✎

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.*

Locate extrema candidates where *y*' = 0. Remember to only consider candidates within the given domain: [0, *π*].

Locate more extrema candidates where *y*' = 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

.

Three extrema candidates have been identified.

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

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

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