Copyright © 2008 Pearson Education, Inc. Chapter 4 Calculating the Derivative Copyright © 2008 Pearson Education, Inc.

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Presentation transcript:

Copyright © 2008 Pearson Education, Inc. Chapter 4 Calculating the Derivative Copyright © 2008 Pearson Education, Inc.

4.1 Techniques for Finding Derivatives

Copyright © 2008 Pearson Education, Inc. Slide 4-3

Copyright © 2008 Pearson Education, Inc. Slide 4-4

Copyright © 2008 Pearson Education, Inc. Slide 4-5 Figure 1

Copyright © 2008 Pearson Education, Inc. Slide 4-6

Copyright © 2008 Pearson Education, Inc. Slide 4-7

Copyright © 2008 Pearson Education, Inc. Slide 4-8

Copyright © 2008 Pearson Education, Inc. Slide 4-9

Copyright © 2008 Pearson Education, Inc. Slide 4-10 Figure 2

Copyright © 2008 Pearson Education, Inc. Slide 4-11 Figure 3

Copyright © 2008 Pearson Education, Inc. Slide 4-12 Figure 4

Copyright © 2008 Pearson Education, Inc. Slide 4-13 Figure 5

Copyright © 2008 Pearson Education, Inc. Slide 4-14 Figure 6

Copyright © 2008 Pearson Education, Inc. Slide 4-15 Figure 7

Copyright © 2008 Pearson Education, Inc. 4.2 Derivatives of Products and Quotients

Copyright © 2008 Pearson Education, Inc. Slide 4-17

Copyright © 2008 Pearson Education, Inc. Slide 4-18 Figure 8

Copyright © 2008 Pearson Education, Inc. Slide 4-19

Copyright © 2008 Pearson Education, Inc. Slide 4-20

Copyright © 2008 Pearson Education, Inc. 4.3 The Chain Rule

Copyright © 2008 Pearson Education, Inc. Slide 4-22 Figure 9

Copyright © 2008 Pearson Education, Inc. Slide 4-23

Copyright © 2008 Pearson Education, Inc. Slide 4-24

Copyright © 2008 Pearson Education, Inc. Slide 4-25

Copyright © 2008 Pearson Education, Inc. Slide 4-26 Figure 10

Copyright © 2008 Pearson Education, Inc. 4.4 Derivatives of Exponential Functions

Copyright © 2008 Pearson Education, Inc. Slide 4-28 Figure 11

Copyright © 2008 Pearson Education, Inc. Slide 4-29

Copyright © 2008 Pearson Education, Inc. Slide 4-30

Copyright © 2008 Pearson Education, Inc. Slide 4-31

Copyright © 2008 Pearson Education, Inc. Slide 4-32 Figure 12

Copyright © 2008 Pearson Education, Inc. 4.5 Derivatives of Logarithmic Functions

Copyright © 2008 Pearson Education, Inc. Slide 4-34 Figure 13

Copyright © 2008 Pearson Education, Inc. Slide 4-35

Copyright © 2008 Pearson Education, Inc. Slide 4-36

Copyright © 2008 Pearson Education, Inc. Slide 4-37

Copyright © 2008 Pearson Education, Inc. Electric Potential and Electric Field Extended Application

Copyright © 2008 Pearson Education, Inc. Slide 4-39 Figure 14

Copyright © 2008 Pearson Education, Inc. Slide 4-40 Figure 15

Copyright © 2008 Pearson Education, Inc. Slide 4-41 Figure 16