Calculus 3 video that explains functions of several variables and their domains, we explain how functions of two variables are similar to single variable functions and how they also have some differences. We show the 3-dimensional version of the vertical line test and how it can be used to identify functions of two variables. We also show visual examples of how domain works in the plane, and we work several examples of finding the domain for a function of two variables.
0:00 Intro to Functions of 2 Variables
3:21 Intro to Domains
5:31 Example 1 - Finding Domain
8:39 Example 2 - Finding Domain
11:05 Example 3 - Finding Domain
13:16 Example 4 - Finding Domain
16:58 Example 5 - Finding Domain
Houston Math Prep Calculus 3 Playlist: • Calculus 3