Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial...
-
Upload
augusta-philippa-randall -
Category
Documents
-
view
225 -
download
0
Transcript of Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial...
![Page 1: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/1.jpg)
Copyright © Johns and Bartlett;滄海書局
CHAPTER 13 Partial Derivatives
13.3 Partial Derivatives
![Page 2: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/2.jpg)
2Copyright © Johns and Bartlett;滄海書局
Introduction
![Page 3: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/3.jpg)
3Copyright © Johns and Bartlett;滄海書局
Computing a Partial Derivative
![Page 4: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/4.jpg)
4Copyright © Johns and Bartlett;滄海書局
![Page 5: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/5.jpg)
5Copyright © Johns and Bartlett;滄海書局
Alternative Symbols
![Page 6: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/6.jpg)
6Copyright © Johns and Bartlett;滄海書局
![Page 7: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/7.jpg)
7Copyright © Johns and Bartlett;滄海書局
![Page 8: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/8.jpg)
8Copyright © Johns and Bartlett;滄海書局
Geometric Interpretation
![Page 9: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/9.jpg)
9Copyright © Johns and Bartlett;滄海書局
FIGURE 13.3.1 Partial derivatives ∂z/∂x and ∂z/∂y are slopes of tangent lines to a curve C of intersection of the surface and a plane parallel to the x- or y-axes
![Page 10: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/10.jpg)
10Copyright © Johns and Bartlett;滄海書局
FIGURE 13.3.1 Partial derivatives ∂z/∂x and ∂z/∂y are slopes of tangent lines to a curve C of intersection of the surface and a plane parallel to the x- or y-axes
![Page 11: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/11.jpg)
11Copyright © Johns and Bartlett;滄海書局
![Page 12: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/12.jpg)
12Copyright © Johns and Bartlett;滄海書局
![Page 13: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/13.jpg)
13Copyright © Johns and Bartlett;滄海書局
![Page 14: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/14.jpg)
14Copyright © Johns and Bartlett;滄海書局
FIGURE 13.3.2 Slope of tangent lines in Example 4
![Page 15: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/15.jpg)
15Copyright © Johns and Bartlett;滄海書局
Functions of Three or More Variables
![Page 16: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/16.jpg)
16Copyright © Johns and Bartlett;滄海書局
![Page 17: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/17.jpg)
17Copyright © Johns and Bartlett;滄海書局
![Page 18: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/18.jpg)
18Copyright © Johns and Bartlett;滄海書局
Higher-Order and Mixed Derivatives
![Page 19: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/19.jpg)
19Copyright © Johns and Bartlett;滄海書局
Alternative Symbols
![Page 20: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/20.jpg)
20Copyright © Johns and Bartlett;滄海書局
Equality of Mixed Partials
![Page 21: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/21.jpg)
21Copyright © Johns and Bartlett;滄海書局
![Page 22: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/22.jpg)
22Copyright © Johns and Bartlett;滄海書局
![Page 23: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/23.jpg)
23Copyright © Johns and Bartlett;滄海書局
![Page 24: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/24.jpg)
24Copyright © Johns and Bartlett;滄海書局
![Page 25: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/25.jpg)
25Copyright © Johns and Bartlett;滄海書局
![Page 26: Copyright © Johns and Bartlett ;滄海書局 CHAPTER 13 Partial Derivatives 13.3 Partial Derivatives.](https://reader038.fdocuments.in/reader038/viewer/2022102818/56649ed15503460f94be0695/html5/thumbnails/26.jpg)
26Copyright © Johns and Bartlett;滄海書局