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

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 14.1.17 Figure 14.1.10a Figure 14.1.11 Figure 14.1.19a-b Figure 14.4.2 Figure 14.1.19c-d Figure 14.7.3 Figure 14.7.7-8

Section 14.1 · Figure 10a-b Computer-generated graphs of functions A

Computer-generated graphs of functions Section 14.1 · Figure 10c-d Computer-generated graphs of functions

A Level curves being lifted up to graphs of functions Section 14.1 · Figure 11 Level curves being lifted up to graphs of functions A

World mean sea-level temperatures in January in degrees Celsius Section 14.1 · Figure 13 World mean sea-level temperatures in January in degrees Celsius

(b) Horizontal traces are raised level curves Section 14.1 · Figure 17 The graph of is formed by lifting the level curves (a) Contour map (b) Horizontal traces are raised level curves A

Section 14.1 · Figure 19a-b Level curves and two views of A

Section 14.1 · Figure 19c-d A

Section 14.1 · Exercise 30 I II III IV V VI

Section 14.1 · Exercises 53-58 A B C 53. 54. 55. 56. 57. 58. D E F I II III IV V VI

Section 14.3 · Figures 2, 3

Section 14.3 · Figures 4, 5

Section 14.3 · Exercise 7

A The elliptic paraboloid Section 14.4 · Figure 2 The elliptic paraboloid The elliptic paraboloid appears to coincide with its tangent plane as we zoom in toward (1, 1, 3). A

Geometric interpretation of the differential dz and the increment Dz Section 14.4 · Figure 7 Geometric interpretation of the differential dz and the increment Dz

The slope of T is the rate of change of z in the direction of U Section 14.6 · Figure 3 The slope of T is the rate of change of z in the direction of U

The directional derivative of Example 2 Section 14.6 · Figure 5 The directional derivative of Example 2

Section 14.7 · Figure 3 A

A The graph and critical points of the function in Example 4 Section 14.7 · Figures 7-9 The graph and critical points of the function in Example 4 A

The paraboloid and its level curves from Example 2 Section 14.8 · Figures 2, 3 The paraboloid and its level curves from Example 2