A calculator-generated graph is often useful in locating extreme values of a function. There are built-in calculator features that approximate maximum and minimum values of a function. However, calculus tools, such as the first and second derivatives, should be used to confirm extreme values. In this module you will find absolute and local extreme values of functions by using both calculus techniques and calculator features.

Lesson Index:

13.1 - Critical Points

13.2 - The First Derivative Test

13.3 - The Second Derivative Test

13.4 - TI-83 Minimum and Maximum Features

After completing this module, you should be able to do the following:

• Identify critical points of a function
• Use critical points and endpoints to determine extreme values
• Find local and absolute extreme points
• Use the first derivative to identify extreme points
• Use the second derivative to distinguish between maximums and minimums
• Use the calculator's maximum and minimum features to find extreme points