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

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

1

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

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

4 Slide 3 - 4 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

5 Slide 3 - 5 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

6 Slide 3 - 6 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

7 Slide 3 - 7 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

8 Slide 3 - 8 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

9 Slide 3 - 9 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

10 Slide 3 - 10 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

11 Slide 3 - 11 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

12 Slide 3 - 12 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

13 Slide 3 - 13 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

14 Slide 3 - 14 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

15 Slide 3 - 15 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

16 Slide 3 - 16 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

17 Slide 3 - 17 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

18 Slide 3 - 18 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

19 Slide 3 - 19 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

20 Slide 3 - 20 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

21 Slide 3 - 21 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

22 Slide 3 - 22 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

23 Slide 3 - 23 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

24 Slide 3 - 24 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

25 Slide 3 - 25 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

26 Slide 3 - 26 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

27 3.2 Rules of Differentiation

28 Slide 3 - 28 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

29 Slide 3 - 29 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

30 Slide 3 - 30 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

31 Slide 3 - 31 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

32 Slide 3 - 32 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

33 Slide 3 - 33 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

34 Slide 3 - 34 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

35 Slide 3 - 35 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

36 Slide 3 - 36 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

37 Slide 3 - 37 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

38 Slide 3 - 38 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

39 Slide 3 - 39 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

40 Slide 3 - 40 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

41 3.3 The Product and Quotient Rules

42 Slide 3 - 42 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

43 Slide 3 - 43 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

44 Slide 3 - 44 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

45 Slide 3 - 45 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

46 Slide 3 - 46 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

47 Slide 3 - 47 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

48 3.4 Derivatives of Trigonometric Functions

49 Slide 3 - 49 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

50 Slide 3 - 50 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

51 Slide 3 - 51 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

52 Slide 3 - 52 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

53 Slide 3 - 53 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

54 Slide 3 - 54 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

55 Slide 3 - 55 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

56 3.5 Derivatives as Rates of Change

57 Slide 3 - 57 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

58 Slide 3 - 58 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

59 Slide 3 - 59 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

60 Slide 3 - 60 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

61 Slide 3 - 61 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

62 Slide 3 - 62 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

63 Slide 3 - 63 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

64 Slide 3 - 64 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

65 Slide 3 - 65 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

66 Slide 3 - 66 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

67 Slide 3 - 67 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

68 Slide 3 - 68 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

69 Slide 3 - 69 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

70 Slide 3 - 70 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

71 Slide 3 - 71 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

72 Slide 3 - 72 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

73 Slide 3 - 73 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

74 Slide 3 - 74 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

75 3.6 The Chain Rule

76 Slide 3 - 76 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

77 Slide 3 - 77 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

78 Slide 3 - 78 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

79 Slide 3 - 79 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

80 Slide 3 - 80 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

81 Slide 3 - 81 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

82 3.7 Implicit Differentiation

83 Slide 3 - 83 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

84 Slide 3 - 84 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

85 Slide 3 - 85 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

86 Slide 3 - 86 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

87 Slide 3 - 87 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

88 Slide 3 - 88 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

89 3.8 Derivatives of Logarithmic and Exponential Functions

90 Slide 3 - 90 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

91 Slide 3 - 91 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

92 Slide 3 - 92 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

93 Slide 3 - 93 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

94 Slide 3 - 94 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

95 Slide 3 - 95 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

96 Slide 3 - 96 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

97 Slide 3 - 97 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

98 Slide 3 - 98 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

99 Slide 3 - 99 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

100 3.9 Derivatives of Inverse Trigonometric Functions

101 Slide 3 - 101 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

102 Slide 3 - 102 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

103 Slide 3 - 103 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

104 Slide 3 - 104 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

105 Slide 3 - 105 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

106 Slide 3 - 106 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

107 Slide 3 - 107 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

108 Slide 3 - 108 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

109 Slide 3 - 109 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

110 Slide 3 - 110 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

111 Slide 3 - 111 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

112 Slide 3 - 112 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

113 Slide 3 - 113 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

114 3.10 Related Rates

115 Slide 3 - 115 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

116 Slide 3 - 116 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

117 Slide 3 - 117 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

118 Slide 3 - 118 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

119 Slide 3 - 119 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley


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