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Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 4 Applications of the Derivative.

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Presentation on theme: "Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 4 Applications of the Derivative."— Presentation transcript:

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2 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 4 Applications of the Derivative

3 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 4.1 Maxima and Minima

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

5 Slide 4 - 5 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

6 Slide 4 - 6 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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8 Slide 4 - 8 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

9 Slide 4 - 9 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

10 Slide 4 - 10 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

11 Slide 4 - 11 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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14 Slide 4 - 14 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

15 Slide 4 - 15 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

16 Slide 4 - 16 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

17 Slide 4 - 17 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

18 Slide 4 - 18 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

19 Slide 4 - 19 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

20 Slide 4 - 20 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

21 Slide 4 - 21 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

22 4.2 What Derivatives Tell Us

23 Slide 4 - 23 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

24 Slide 4 - 24 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

25 Slide 4 - 25 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

26 Slide 4 - 26 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

27 Slide 4 - 27 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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29 Slide 4 - 29 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

30 Slide 4 - 30 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

31 Slide 4 - 31 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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35 Slide 4 - 35 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

36 Slide 4 - 36 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

37 Slide 4 - 37 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

38 Slide 4 - 38 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

39 Slide 4 - 39 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

40 Slide 4 - 40 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

41 Slide 4 - 41 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

42 Slide 4 - 42 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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44 Slide 4 - 44 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

45 Slide 4 - 45 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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47 Slide 4 - 47 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

48 Slide 4 - 48 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

49 Slide 4 - 49 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

50 Slide 4 - 50 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

51 Slide 4 - 51 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

52 Slide 4 - 52 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

53 Slide 4 - 53 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

54 4.3 Graphing Functions

55 Slide 4 - 55 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

56 Slide 4 - 56 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

57 Slide 4 - 57 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

58 Slide 4 - 58 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

59 Slide 4 - 59 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

60 Slide 4 - 60 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

61 Slide 4 - 61 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

62 Slide 4 - 62 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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67 Slide 4 - 67 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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70 Slide 4 - 70 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

71 4.4 Optimization Problems

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74 Slide 4 - 74 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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81 Slide 4 - 81 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

82 Slide 4 - 82 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

83 4.5 Linear Approximations and Differentials

84 Slide 4 - 84 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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86 Slide 4 - 86 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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95 4.6 Mean Value Theorem

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98 Slide 4 - 98 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

99 Slide 4 - 99 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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106 Slide 4 - 106 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

107 Slide 4 - 107 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

108 4.7 L’Hôpital’s Rule

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118 Slide 4 - 118 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

119 Slide 4 - 119 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

120 4.8 Antiderivatives

121 Slide 4 - 121 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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123 Slide 4 - 123 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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