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Find the first and second derivatives and use them to test for maxima and minima on 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 extrema candidates where . Remember to only consider candidates within the given domain: .

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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 .

extrema candidates have been identified.

Test each candidate to see who has the most extreme (highest and lowest) -values.
The 'winners' are the global max and the global min.