1. Chapter 3
Derivatives

2. Introducing the Derivative
3.1
Introducing the Derivative

3. Figure 3.1

4. Figure 3.2

5. Figure 3.3

7. Figure 3.4

8. Figure 3.5

10. Figure 3.6

11. Figure 3.7

13. Figure 3.8

14. Figure 3.9

15. Figure 3.10

16. Figure 3.11

17. Figure 3.12

18. Figure 3.13

19. Figure 3.14

21. Figure 3.15

23. Figure 3.16

24. Figure 3.17 (a)

25. Figure 3.17 (b)

27. Figure 3.18

28. Figure 3.19

29. Rules of Differentiation
3.2
Rules of Differentiation

30. Figure 3.20

35. Figure 3.21

37. The Product and Quotient Rules
3.3
The Product and Quotient Rules

40. Figure 3.22

42. Figure 3.23

43. Derivatives of Trigonometric Functions
3.4
Derivatives of
Trigonometric Functions

45. Table 3.1

46. Figure 3.24

47. Figure 3.25

49. Figure 3.26 (a & b)

51. Derivatives as Rates of Change
3.5
Derivatives as Rates of Change

52. Figure 3.27

53. Figure 3.28

55. Figure 3.29

56. Figure 3.30

58. Figure 3.31

59. Figure 3.32

60. Figure 3.33

61. Figure 3.34 (a)

62. Figure 3.34 (b)

63. Figure 3.35

64. Figure 3.36

65. Figure 3.37

66. Figure 3.38

67. Figure 3.39

69. Figure 3.40

70. Figure 3.41 (a)

71. Figure 3.41 (b)

72. 3.6
The Chain Rule

73. Figure 3.42

76. Table 3.2

78. Implicit Differentiation
3.7
Implicit Differentiation

79. Figure 3.43 (a & b)

80. Figure 3.44 (a)

81. Figure 3.44 (b)

82. Figure 3.45

83. Figure 3.46

85. Figure 3.47

86. 3.8
Related Rates

87. Figure 3.48

89. Figure 3.49

90. Figure 3.50

91. Figure 3.51

92. Figure 3.52