CK-12-Calculus

3.2. Extrema and the Mean Value Theorem http://www.ck12.org

Since we need to havecin the interval( 1 , 4 ),the positive root is the solution,c=−^2 +

√ 52

2 ≈^2 .61.

Lesson Summary

1. We learned to solve problems that involve extrema.


2. We learned about Rolle’s Theorem.


3. We used the Mean Value Theorem to solve problems.

Multimedia Links

For a video presentation of Rolle’s Theorem(8.0), see Math Video Tutorials by James Sousa, Rolle’s Theorem
(7:54).

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/548

For more information about the Mean Value Theorem(8.0), see Math Video Tutorials by James Sousa, Mean Value
Theorem (9:52).

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/549

For a well-done, but unorthodox, student presentation of the Extreme Value Theorem and Related Rates(3.0)(12.0),
see Extreme Value Theorem (10:00).

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/551