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Lesson: Local Extrema and Critical Points

In this lesson, we will learn how to find local extreme values using the first derivative theorem.

Worksheet • 25 Questions

Q1:

Determine the critical points of the function in the interval .

A , ,
B ,
C , ,
D ,
E ,

Q2:

Find, if any, the local maxima and minima for .

ALocal minimum equals 1 at .
BIt has no local maxima and no local minima.
CLocal maximum equals 1 at .
DLocal maximum equals at .
ELocal minimum equals at .

Q3:

Find where (if at all) the function has its local maxima and minima.

Alocal maximum value, local minimum value
Blocal minimum value
Clocal minimum value, local maximum value
Dlocal minimum value
Elocal maximum value

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