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

3. 4.1
Maxima and Minima
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. What Derivatives Tell Us
4.2
What Derivatives Tell Us
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. Copyright © 2011 Pearson Education, Inc
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. Copyright © 2011 Pearson Education, Inc
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. Copyright © 2011 Pearson Education, Inc
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. 4.3
Graphing Functions
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. Copyright © 2011 Pearson Education, Inc
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. Optimization Problems
4.4
Optimization Problems
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. Copyright © 2011 Pearson Education, Inc
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. Copyright © 2011 Pearson Education, Inc
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

83. Linear Approximations and Differentials
4.5
Linear Approximations and Differentials
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. Copyright © 2011 Pearson Education, Inc
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. 4.6
Mean Value Theorem
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. Copyright © 2011 Pearson Education, Inc
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. 4.7
L’Hôpital’s Rule
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. Copyright © 2011 Pearson Education, Inc
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

120. 4.8
Antiderivatives
Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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

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

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

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

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

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

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

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

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

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

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

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

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