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Lesson: Local Extrema and Critical Points

All local maxima and minima 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 local extreme values using the first derivative theorem.

Worksheet: Local Extrema and Critical Points • 22 Questions

Q1:

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

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

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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