Extreme Values on Intervals
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Lesson Description:
Global (absolute) maximum and minimum values on closed intervals. Endpoint (one-sided) derivatives. The second derivative and extrema on open intervals.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
Additional Resources:
- Endpoint and Absolute Extreme Values - Practice with Endpoint and Absolute Extreme Values.
Questions answered by this video:
- How do you find extreme values of a function?
- How do you find the minimum and maximum values on a closed, bounded interval?
- How do you find a one-sided derivative at an endpoint of a function on an interval?
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Staff Review
The extreme value theorem is reviewed to begin this lesson. You will then learn how to find the minimum and maximum values of a function on a closed, bounded interval. Several useful theorems and results are discussed that deal with extreme values at endpoints. There are some good example problems as well. -
Dierdre
Very detailed explanations and he speaks slowly and clearly enough for students to follow. Also, there are pictures provided for those students who are visual.
