## Mathematics 207## Calculus III |

*Chapter 14: DIFFERENTIATING FUNCTIONS OF SEVERAL VARIABLES*

- 14.1 The Partial Derivative
- 14.2 Computing Partial Derivatives Algebraically
- 14.3 Local Linearity and the Differential
- 14.4 Gradients and Directional Derivatives in the Plane
- 14.5 Gradients and Directional Derivatives in Space
- 14.6 The Chain Rule
- 14.7 Second-Order Partial Derivatives
- 14.8 Differentiability

- 14.1 -- 4, 9-12, 17, 19, 25.
- 14.2 -- 6, 7, 11, 24, 31, 32, 34, 36, 38, 41, 45.
- 14.3 -- 2, 4, 12, 16, 18, 22, 27, 28.
- 14.4 -- 2, 8, 14, 21, 24, 31, 35, 38, 42, 56, 64, 65, 69.
- 14.5 -- 4, 7, 15, 20, 23, 26, 38, 48, 51, 57, 62.
- 14.6 -- 2, 6, 14, 19, 22, 25, 26, 31, 35, 38.
- 14.7 -- 2, 5, 12, 18, 20, 28, 32, 40, 45.
- 14.8 -- 2, 4, 8, 10, 16, 20.

Download this file and open it with Mathematica. On a Mac, you can download the file by holding down the Option key and clicking on the link. It will probably go into your Downloads folder.

- Review exercises and problems for chapter 14 -- selected examples from exercises 5-28, 57, 59, 60, 61, 62, 65, 67, 77, 78, 80, 81, 84, 85, 91, 92, 96, 101, 103