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Chapter 3 Integration Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

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Presentation on theme: "Chapter 3 Integration Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley."— Presentation transcript:

1

2 Chapter 3 Integration Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

3 Introducing the Derivative
3.1 Introducing the Derivative Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

4 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

5 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

6 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

7 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

8 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

9 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

10 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

11 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

12 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

13 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

14 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

15 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

16 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

17 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

18 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

19 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

20 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

21 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

22 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

23 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

24 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

25 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

26 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

27 Rules of Differentiation
3.2 Rules of Differentiation Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

28 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

29 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

30 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

31 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

32 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

33 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

34 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

35 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

36 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

37 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

38 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

39 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

40 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

41 The Product and Quotient Rules
3.3 The Product and Quotient Rules Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

42 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

43 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

44 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

45 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

46 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

47 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

48 Derivatives of Trigonometric Functions
3.4 Derivatives of Trigonometric Functions Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

49 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

50 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

51 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

52 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

53 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

54 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

55 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

56 Derivatives as Rates of Change
3.5 Derivatives as Rates of Change Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

57 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

58 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

59 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

60 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

61 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

62 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

63 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

64 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

65 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

66 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

67 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

68 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

69 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

70 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

71 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

72 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

73 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

74 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

75 3.6 The Chain Rule Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

76 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

77 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

78 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

79 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

80 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

81 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

82 Implicit Differentiation
3.7 Implicit Differentiation Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

83 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

84 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

85 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

86 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

87 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

88 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

89 Derivatives of Logarithmic and Exponential Functions
3.8 Derivatives of Logarithmic and Exponential Functions Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

90 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

91 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

92 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

93 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

94 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

95 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

96 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

97 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

98 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

99 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

100 Derivatives of Inverse Trigonometric Functions
3.9 Derivatives of Inverse Trigonometric Functions Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

101 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

102 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

103 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

104 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

105 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

106 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

107 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

108 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

109 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

110 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

111 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

112 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

113 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

114 3.10 Related Rates Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

115 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

116 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

117 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

118 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

119 Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley


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