Section 15.5 Worksheet:

Assignment: Page 958: 2, 3, 11, 12, 15, 19, 23, 33, 38, 41, 45 (due Friday, 2/6).

1. The chain rule is a pretty straightforward generalization of the univariate chain rule. Represent the univariate chain rule in terms of a tree diagram, as in Figures 2-4.

2. What is the difference between independent, intermediate, and dependent variables?

3. In the case of F(x,y)=0, what are the assumptions which allow us to use the implicit function theorem?