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Locate all relative extrema and points of inflection for .

Candidates for relative maxima and minima occur where and .
Candidates for points of inflection occur where and .
But these are just CANDIDATES.
You have to conduct other tests before identifying each candidate as the location of a maximum, minimum, or POI.

Once you determine the -value of each relative max, relative min, and POI, recall that maxima and minima are defined as -values.
Use the function to determine the corresponding -coordinates.