1. Copyright © 2008 Pearson Education, Inc. Chapter 9 Multivariable Calculus Copyright © 2008 Pearson Education, Inc.

2. 9.1 Functions of Several Variables

3. Copyright © 2008 Pearson Education, Inc. Slide 9-3

4. Copyright © 2008 Pearson Education, Inc. Slide 9-4 Figure 1

5. Copyright © 2008 Pearson Education, Inc. Slide 9-5

6. Copyright © 2008 Pearson Education, Inc. Slide 9-6 Figure 2

7. Copyright © 2008 Pearson Education, Inc. Slide 9-7 Figure 3

8. Copyright © 2008 Pearson Education, Inc. Slide 9-8 Figure 4

9. Copyright © 2008 Pearson Education, Inc. Slide 9-9 Figure 5

10. Copyright © 2008 Pearson Education, Inc. Slide 9-10 Figure 6

11. Copyright © 2008 Pearson Education, Inc. Slide 9-11 Figure 7

12. Copyright © 2008 Pearson Education, Inc. Slide 9-12 Figure 8

13. Copyright © 2008 Pearson Education, Inc. Slide 9-13 Figure 9

14. Copyright © 2008 Pearson Education, Inc. Slide 9-14 Figure 10

15. Copyright © 2008 Pearson Education, Inc. Slide 9-15 Figure 11

16. Copyright © 2008 Pearson Education, Inc. Slide 9-16 Figure 12

17. Copyright © 2008 Pearson Education, Inc. Slide 9-17

18. Copyright © 2008 Pearson Education, Inc. Slide 9-18

19. Copyright © 2008 Pearson Education, Inc. Slide 9-19

20. Copyright © 2008 Pearson Education, Inc. Slide 9-20

21. Copyright © 2008 Pearson Education, Inc. Slide 9-21 Figure 13

22. Copyright © 2008 Pearson Education, Inc. Slide 9-22 Figure 14

23. Copyright © 2008 Pearson Education, Inc. 9.2 Partial Derivatives

24. Copyright © 2008 Pearson Education, Inc. Slide 9-24

25. Copyright © 2008 Pearson Education, Inc. Slide 9-25

26. Copyright © 2008 Pearson Education, Inc. Slide 9-26 Figure 15

27. Copyright © 2008 Pearson Education, Inc. Slide 9-27 Figure 16

28. Copyright © 2008 Pearson Education, Inc. Slide 9-28

29. Copyright © 2008 Pearson Education, Inc. 9.3 Maxima and Minima

30. Copyright © 2008 Pearson Education, Inc. Slide 9-30

31. Copyright © 2008 Pearson Education, Inc. Slide 9-31 Figure 17

32. Copyright © 2008 Pearson Education, Inc. Slide 9-32 Figure 18

33. Copyright © 2008 Pearson Education, Inc. Slide 9-33 Figure 19

34. Copyright © 2008 Pearson Education, Inc. Slide 9-34

35. Copyright © 2008 Pearson Education, Inc. Slide 9-35 Figure 20

36. Copyright © 2008 Pearson Education, Inc. Slide 9-36

37. Copyright © 2008 Pearson Education, Inc. Slide 9-37

38. Copyright © 2008 Pearson Education, Inc. Slide 9-38 Figure 21

39. Copyright © 2008 Pearson Education, Inc. Slide 9-39 Figure 22

40. Copyright © 2008 Pearson Education, Inc. 9.4 Lagrange Multipliers

41. Copyright © 2008 Pearson Education, Inc. Slide 9-41 Figure 23

42. Copyright © 2008 Pearson Education, Inc. Slide 9-42

43. Copyright © 2008 Pearson Education, Inc. Slide 9-43

44. Copyright © 2008 Pearson Education, Inc. Slide 9-44 Figure 24

45. Copyright © 2008 Pearson Education, Inc. Slide 9-45 Figure 25

46. Copyright © 2008 Pearson Education, Inc. Slide 9-46 Figure 26

47. Copyright © 2008 Pearson Education, Inc. 9.5 Total Differentials and Approximations

48. Copyright © 2008 Pearson Education, Inc. Slide 9-48

49. Copyright © 2008 Pearson Education, Inc. Slide 9-49

50. Copyright © 2008 Pearson Education, Inc. Slide 9-50

51. Copyright © 2008 Pearson Education, Inc. Slide 9-51

52. Copyright © 2008 Pearson Education, Inc. Slide 9-52 Figure 27

53. Copyright © 2008 Pearson Education, Inc. 9.6 Double Integrals

54. Copyright © 2008 Pearson Education, Inc. Slide 9-54

55. Copyright © 2008 Pearson Education, Inc. Slide 9-55 Figure 28

56. Copyright © 2008 Pearson Education, Inc. Slide 9-56

57. Copyright © 2008 Pearson Education, Inc. Slide 9-57 Figure 29

58. Copyright © 2008 Pearson Education, Inc. Slide 9-58

59. Copyright © 2008 Pearson Education, Inc. Slide 9-59 Figure 30

60. Copyright © 2008 Pearson Education, Inc. Slide 9-60 Figure 31

61. Copyright © 2008 Pearson Education, Inc. Slide 9-61 Figure 32

62. Copyright © 2008 Pearson Education, Inc. Slide 9-62

63. Copyright © 2008 Pearson Education, Inc. Slide 9-63 Figure 33

64. Copyright © 2008 Pearson Education, Inc. Slide 9-64 Figure 34

65. Copyright © 2008 Pearson Education, Inc. Slide 9-65 Figure 35

66. Copyright © 2008 Pearson Education, Inc. Slide 9-66 Figure 36

67. Copyright © 2008 Pearson Education, Inc. Using Multivariable Fitting to Create a Response Surface Design Extended Application

68. Copyright © 2008 Pearson Education, Inc. Slide 9-68

69. Copyright © 2008 Pearson Education, Inc. Slide 9-69 Figure 37

70. Copyright © 2008 Pearson Education, Inc. Slide 9-70 Figure 38

71. Copyright © 2008 Pearson Education, Inc. Slide 9-71 Figure 39

72. Copyright © 2008 Pearson Education, Inc. Slide 9-72 Figure 40

73. Copyright © 2008 Pearson Education, Inc. Slide 9-73

74. Copyright © 2008 Pearson Education, Inc. Slide 9-74 Figure 41

75. Copyright © 2008 Pearson Education, Inc. Slide 9-75 Figure 42

76. Copyright © 2008 Pearson Education, Inc. Slide 9-76 Figure 43

77. Copyright © 2008 Pearson Education, Inc. Slide 9-77 Figure 44

78. Copyright © 2008 Pearson Education, Inc. Slide 9-78 Figure 45

79. Copyright © 2008 Pearson Education, Inc. Slide 9-79 Figure 46

80. Copyright © 2008 Pearson Education, Inc. Slide 9-80 Figure 47