### 2 videos in "Optimization Problems"

## Extreme Values on Intervals

Extreme Values on Intervals

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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.

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Global (absolute) maximum and minimum values on closed intervals. Endpoint (one-sided) derivatives. The second derivative and extrema on open intervals.

- Endpoint and Absolute Extreme Values - Practice with Endpoint and Absolute Extreme Values.

- 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?

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.

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.