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Home > CALC > Chapter 7 > Lesson 7.3.3 > Problem 7-138


Find all relative maxima, minima, and points of inflection given .

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