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© 2010 Pearson Education, Inc. All rights reserved.

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Presentation on theme: "© 2010 Pearson Education, Inc. All rights reserved."— Presentation transcript:

1 © 2010 Pearson Education, Inc. All rights reserved

2 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 4 Applications of Derivatives

3 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 4.1 Extreme Values of Functions

4 Slide 4- 4 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

5 Slide 4- 5 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

6 Slide 4- 6 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

7 Slide 4- 7 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

8 Slide 4- 8 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

9 Slide 4- 9 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

10 Slide 4- 10 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

11 Slide 4- 11 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

12 Slide 4- 12 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

13 Slide 4- 13 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

14 Slide 4- 14 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

15 Slide 4- 15 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

16 Slide 4- 16 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

17 Slide 4- 17 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

18 Slide 4- 18 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

19 4.2 The Mean Value Theorem

20 Slide 4- 20 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

21 Slide 4- 21 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

22 Slide 4- 22 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

23 Slide 4- 23 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

24 Slide 4- 24 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

25 Slide 4- 25 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

26 Slide 4- 26 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

27 Slide 4- 27 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

28 Slide 4- 28 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

29 Slide 4- 29 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

30 Slide 4- 30 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

31 Slide 4- 31 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

32 Slide 4- 32 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

33 Slide 4- 33 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

34 4.3 Monotonic Functions and The First Derivative Test

35 Slide 4- 35 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

36 Slide 4- 36 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

37 Slide 4- 37 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

38 Slide 4- 38 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

39 Slide 4- 39 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

40 Slide 4- 40 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

41 Slide 4- 41 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

42 Slide 4- 42 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

43 Slide 4- 43 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

44 4.4 Concavity and Curve Sketching

45 Slide 4- 45 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

46 Slide 4- 46 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

47 Slide 4- 47 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

48 Slide 4- 48 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

49 Slide 4- 49 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

50 Slide 4- 50 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

51 Slide 4- 51 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

52 Slide 4- 52 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

53 Slide 4- 53 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

54 Slide 4- 54 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

55 Slide 4- 55 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

56 Slide 4- 56 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

57 Slide 4- 57 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

58 Slide 4- 58 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

59 Slide 4- 59 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

60 Slide 4- 60 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

61 Slide 4- 61 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

62 Slide 4- 62 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

63 Slide 4- 63 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

64 Slide 4- 64 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

65 4.5 Indeterminate Forms and L ’ Hopital’s Rule ^

66 Slide 4- 66 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

67 Slide 4- 67 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

68 Slide 4- 68 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

69 Slide 4- 69 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

70 Slide 4- 70 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

71 4.6 Applied Optimization

72 Slide 4- 72 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

73 Slide 4- 73 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

74 Slide 4- 74 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

75 Slide 4- 75 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

76 Slide 4- 76 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

77 Slide 4- 77 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

78 Slide 4- 78 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

79 Slide 4- 79 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

80 Slide 4- 80 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

81 Slide 4- 81 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

82 4.7 Newton’s Method

83 Slide 4- 83 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

84 Slide 4- 84 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

85 Slide 4- 85 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

86 Slide 4- 86 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

87 Slide 4- 87 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

88 Slide 4- 88 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

89 Slide 4- 89 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

90 Slide 4- 90 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

91 Slide 4- 91 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

92 Slide 4- 92 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

93 4.8 Antiderivatives

94 Slide 4- 94 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

95 Slide 4- 95 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

96 Slide 4- 96 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

97 Slide 4- 97 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

98 Slide 4- 98 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

99 Slide 4- 99 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

100 Slide 4- 100 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley


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