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

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.*