1. Extrema of Functions of Two Variables
Section 13.8
Extrema of Functions of Two Variables

2. Peaks and Valleys

3. Definition of Relative Extrema and Figure 13.64

4. Do examples of finding critical values:

5. Theorem 13.16 Relative Extrema Occur Only at Critical Points

6. As in single variable calculus, not all critical values yield extrema

7. To help us determine which critical values yield either a relative maximum or a relative minimum, we use the 2nd Partials Test.

8. Example:
Examine the functions for relative extrema.