### Home > CALC3RD > Chapter Ch5 > Lesson 5.4.1 > Problem 5-144

5-144.

Determine the coordinates of all of the relative extrema and points of inflection for the function ^{ }.^{ }

Max, min, and points of inflection on will occur where

*or DNE or*

*or DNE. But that alone is not enough to determine which is which.*

Minima on happen where

*changes from negative to positive.*

Maxima on

*happen where*

*changes from positive to negative.*

Inflection points on

*happen where*

*changes sign.*

Another way to distinguish between maxima and minima is to use the 2nd Derivative Test.