Chapter 3 The Derivative Copyright © 2008 Pearson Education, Inc. 3.1 Limits Copyright © 2008 Pearson Education, Inc. Copyright © 2008 Pearson Education, Inc. Slide 3-3 Copyright © 2008 Pearson Education, Inc. Slide 3-4 Copyright © 2008 Pearson Education, Inc. Slide 3-5 Figure 1 Copyright © 2008 Pearson Education, Inc. Slide 3-6 Figure 2 Copyright © 2008 Pearson Education, Inc. Slide 3-7 Figure 3 Copyright © 2008 Pearson Education, Inc. Slide 3-8 Figure 4 Copyright © 2008 Pearson Education, Inc. Slide 3-9 Figure 5 Copyright © 2008 Pearson Education, Inc. Slide 3-10 Copyright © 2008 Pearson Education, Inc. Slide 3-11 Figure 6 Copyright © 2008 Pearson Education, Inc. Slide 3-12 Copyright © 2008 Pearson Education, Inc. Slide 3-13 Figure 7 Copyright © 2008 Pearson Education, Inc. Slide 3-14 Figure 8 Copyright © 2008 Pearson Education, Inc. Slide 3-15 Figure 9 Copyright © 2008 Pearson Education, Inc. Slide 3-16 Figure 10 Copyright © 2008 Pearson Education, Inc. Slide 3-17 Figure 11 Copyright © 2008 Pearson Education, Inc. Slide 3-18 Figure 12 Copyright © 2008 Pearson Education, Inc. Slide 3-19 Figure 13 Copyright © 2008 Pearson Education, Inc. Slide 3-20 Copyright © 2008 Pearson Education, Inc. Slide 3-21 Copyright © 2008 Pearson Education, Inc. Slide 3-22 3.2 Continuity Copyright © 2008 Pearson Education, Inc. Figure 14 Copyright © 2008 Pearson Education, Inc. Slide 3-24 Copyright © 2008 Pearson Education, Inc. Slide 3-25 Figure 15 Copyright © 2008 Pearson Education, Inc. Slide 3-26 Figure 16 Copyright © 2008 Pearson Education, Inc. Slide 3-27 Figure 17 Copyright © 2008 Pearson Education, Inc. Slide 3-28 Figure 18 Copyright © 2008 Pearson Education, Inc. Slide 3-29 Copyright © 2008 Pearson Education, Inc. Slide 3-30 Figure 19 Copyright © 2008 Pearson Education, Inc. Slide 3-31 Copyright © 2008 Pearson Education, Inc. Continued on next page Slide 3-32 Copyright © 2008 Pearson Education, Inc. Slide 3-33 Figure 20 Copyright © 2008 Pearson Education, Inc. Slide 3-34 Figure 21 Copyright © 2008 Pearson Education, Inc. Slide 3-35 Figure 22 Copyright © 2008 Pearson Education, Inc. Slide 3-36 3.3 Rates of Change Copyright © 2008 Pearson Education, Inc. Copyright © 2008 Pearson Education, Inc. Slide 3-38 Copyright © 2008 Pearson Education, Inc. Slide 3-39 Copyright © 2008 Pearson Education, Inc. Slide 3-40 Figure 23 Copyright © 2008 Pearson Education, Inc. Slide 3-41 Figure 24 Copyright © 2008 Pearson Education, Inc. Slide 3-42 Copyright © 2008 Pearson Education, Inc. Slide 3-43 Copyright © 2008 Pearson Education, Inc. Slide 3-44 Figure 25 Copyright © 2008 Pearson Education, Inc. Slide 3-45 Copyright © 2008 Pearson Education, Inc. Slide 3-46 Figure 26 Copyright © 2008 Pearson Education, Inc. Slide 3-47 Copyright © 2008 Pearson Education, Inc. Slide 3-48 3.4 Definition of the Derivative Copyright © 2008 Pearson Education, Inc. Figure 27 Copyright © 2008 Pearson Education, Inc. Slide 3-50 Figure 28 Copyright © 2008 Pearson Education, Inc. Slide 3-51 Figure 29 Copyright © 2008 Pearson Education, Inc. Slide 3-52 Figure 30 Copyright © 2008 Pearson Education, Inc. Slide 3-53 Copyright © 2008 Pearson Education, Inc. Slide 3-54 Figure 31 Copyright © 2008 Pearson Education, Inc. Slide 3-55 Figure 32 Copyright © 2008 Pearson Education, Inc. Slide 3-56 Figure 33 Copyright © 2008 Pearson Education, Inc. Slide 3-57 Figure 34 Copyright © 2008 Pearson Education, Inc. Slide 3-58 Figure 35 Copyright © 2008 Pearson Education, Inc. Slide 3-59 Figure 36 Copyright © 2008 Pearson Education, Inc. Slide 3-60 Figure 37 Copyright © 2008 Pearson Education, Inc. Slide 3-61 Copyright © 2008 Pearson Education, Inc. Slide 3-62 Copyright © 2008 Pearson Education, Inc. Slide 3-63 Copyright © 2008 Pearson Education, Inc. Slide 3-64 Figure 38 Copyright © 2008 Pearson Education, Inc. Slide 3-65 Copyright © 2008 Pearson Education, Inc. Slide 3-66 Copyright © 2008 Pearson Education, Inc. Slide 3-67 Figure 39 Copyright © 2008 Pearson Education, Inc. Slide 3-68 Copyright © 2008 Pearson Education, Inc. Slide 3-69 Figure 40 Copyright © 2008 Pearson Education, Inc. Slide 3-70 Figure 41 Copyright © 2008 Pearson Education, Inc. Slide 3-71 Figure 42 Copyright © 2008 Pearson Education, Inc. Slide 3-72 Figure 43 Copyright © 2008 Pearson Education, Inc. Slide 3-73 Copyright © 2008 Pearson Education, Inc. Slide 3-74 Figure 44 Copyright © 2008 Pearson Education, Inc. Slide 3-75 3.5 Graphical Differentiation Copyright © 2008 Pearson Education, Inc. Figure 45 Copyright © 2008 Pearson Education, Inc. Slide 3-77 Figure 46 Copyright © 2008 Pearson Education, Inc. Slide 3-78 Copyright © 2008 Pearson Education, Inc. Slide 3-79 Figure 47 Copyright © 2008 Pearson Education, Inc. Slide 3-80 Figure 48 Copyright © 2008 Pearson Education, Inc. Slide 3-81 Figure 49 Copyright © 2008 Pearson Education, Inc. Slide 3-82 Figure 50 Copyright © 2008 Pearson Education, Inc. Slide 3-83 Figure 51 Copyright © 2008 Pearson Education, Inc. Slide 3-84 Figure 52 Copyright © 2008 Pearson Education, Inc. Slide 3-85 Figure 53 Copyright © 2008 Pearson Education, Inc. Slide 3-86 Figure 54 Copyright © 2008 Pearson Education, Inc. Slide 3-87 Extended Application A Model for Drugs Administered Intravenously Copyright © 2008 Pearson Education, Inc. Figure 55 Copyright © 2008 Pearson Education, Inc. Slide 3-89 Figure 56 Copyright © 2008 Pearson Education, Inc. Slide 3-90 Figure 57 Copyright © 2008 Pearson Education, Inc. Slide 3-91
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