885 13 Functions of Several Variables Many real-life quantities are functions of two or more variables. In Section 13.1, you will learn how to graph a function of two variables, like the one shown above. The first three graphs show cut-away views of the...
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885 13 Functions of Several Variables Many real-life quantities are functions of two or more variables. In Section 13.1, you will learn how to graph a function of two variables, like the one shown above. The first three graphs show cut-away views of the surface at various traces. Another way to visualize this surface is to project the traces onto the xy-plane, as shown in the fourth graph. x y z x y z x y z x y NOAA In this chapter, you will study functions of more than one independent variable. Many of the concepts presented are extensions of familiar ideas from earlier chapters. In this chapter, you should learn the following. ■ How to sketch a graph, level curves, and level surfaces. (13.1) ■ How to find a limit and determine continuity. (13.2) ■ How to find and use a partial derivative. (13.3) ■ How to find and use a total differential and determine differentiability. (13.4) ■ How to use the Chain Rules and find a partial derivative implicitly. (13.5) ■ How to find and use a direct
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