Extrema of Functions of Two Variables Section 13.8 Extrema of Functions of Two Variables

Peaks and Valleys

Definition of Relative Extrema and Figure 13.64

Do examples of finding critical values:

Theorem 13.16 Relative Extrema Occur Only at Critical Points

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

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

Example: Examine the functions for relative extrema.