1. Chapter 14 Partial Derivatives
Calculus 5e
Early Transcendentals Multivariable
James Stewart
Chapter 14 Partial Derivatives

2. A Animations Figure 14.1.17 Figure 14.1.10a Figure 14.1.11
Follow the link to the slide.
Then click on the figure to play the animation. A
Figure
Figure a
Figure
Figure a-b
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Figure c-d
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Figure

3. Section · Figure 10a-b
Computer-generated graphs of functions A

4. Computer-generated graphs of functions
Section · Figure 10c-d
Computer-generated graphs of functions

5. A Level curves being lifted up to graphs of functions
Section · Figure 11
Level curves being lifted up to graphs of functions A

6. World mean sea-level temperatures in January in degrees Celsius
Section · Figure 13
World mean sea-level temperatures in January in degrees Celsius

7. (b) Horizontal traces are raised level curves
Section · Figure 17
The graph of is formed by lifting the level curves
(a) Contour map
(b) Horizontal traces are raised level curves A

8. Section · Figure 19a-b
Level curves and two views of A

9. Section · Figure 19c-d A

10. Section · Exercise 30 I II
III IV V VI

11. Section · Exercises 53-58 A B C
53.
54.
55.
56.
57.
58. D E F I II
III IV V VI

12. Section · Figures 2, 3

13. Section · Figures 4, 5

14. Section · Exercise 7

15. A The elliptic paraboloid
Section · Figure 2
The elliptic paraboloid
The elliptic paraboloid appears to coincide with its tangent plane as we zoom in toward (1, 1, 3). A

16. Geometric interpretation of the differential dz and the increment Dz
Section · Figure 7
Geometric interpretation of the differential dz and the increment Dz

17. The slope of T is the rate of change of z in the direction of U
Section · Figure 3
The slope of T is the rate of change of z in the direction of U

18. The directional derivative of Example 2
Section · Figure 5
The directional derivative of Example 2

19. Section · Figure 3 A

20. A The graph and critical points of the function in Example 4
Section · Figures 7-9
The graph and critical points of the function in Example 4 A

21. The paraboloid and its level curves from Example 2
Section · Figures 2, 3
The paraboloid and its level curves from Example 2