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Lesson: Second Derivative Test for Local Extrema

All local maximums and minimums on a function's graph are called local extrema. They occur at critical points of the function where the derivative is zero or undefined. In this lesson, we will learn how to find the local extrema using the second derivative test.

Worksheet: Second Derivative Test for Local Extrema • 14 Questions

Q1:

Determine the local maximum and local minimum values of .

Alocal maximum value 3 at , local minimum value at
Blocal maximum value 8 at , local minimum value 8 at
Clocal maximum value at , local minimum value at
Dlocal maximum value 8 at , local minimum value 8 at
Elocal maximum value at , local minimum value 3 at

Q2:

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

A is a local maximum point.
BThe function does not have local maximum or minimum points.
C is a local minimum point.
D is a local minimum point.
E is a local maximum point.

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