Lesson: Second Derivative Test for Local Extrema Mathematics • Higher Education

In this lesson, we will learn how to classify local extrema using the second derivative test.

Lesson Plan

Students will be able to

classify local extrema as minima or maxima using the second derivative test,
use the first derivative test in case the second derivative test is inconclusive, in order to determine the type of local extrema or whether there is an inflection point.

Q1:

Find, if any, the points where has a local maximum or local minimum.

Q2:

Find, if any, the points where has a local maximum or local minimum.

Q3:

Find, if any, the local maximum and local minimum values of .