|Module 11 - Extreme Values and Optimization|
|Introduction | Lesson 1 | Lesson 2 | Lesson 3 | Lesson 4 | Self-Test|
In this module you will find the extreme values of a function and solve three application problems that ask you to find either a maximum or a minimum. These problems were chosen because they illustrate the relationship between a function and its derivatives.
Problems that ask for maximum or minimum values are called optimization problems, and each solution usually requires a multi-step procedure. This procedure can often be summarized as follows:
It is easy to get into in the individual steps and lose sight of this lengthy overall process. Computer algebra can help you focus on the overall process by assisting with the individual steps. This is particularly true when some of the individual steps are impractical without technology.
11.1 - Finding Extreme Values of a Function
11.2 - The Cone Problem
11.3 - The Can Problem
11.4 - The Can Problem With Waste
After completing this module, you should be able to do the following:
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