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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 3.9 Derivatives of Exponential and Logarithmic Functions
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 2 Quick Review
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 3 Quick Review
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall
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Slide 3- 6 Quick Review Solutions
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 7 Quick Review Solutions
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall
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Slide 3- 9 What you’ll learn about Derivative of e x Derivative of a x Derivative of ln x Derivative of log a x Power Rule for Arbitrary Real Powers … and why The relationship between exponential and logarithmic functions provides a powerful differentiation tool called logarithmic differentiation.
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 10 Derivative of e x
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 11 Example Derivative of e x
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 12
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 13
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 14 Derivative of a x
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 15
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 16
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Assignment 3.9.1 pages 178 – 179, # 1 – 9 odds, 29, 33, 49, 51 and 55 Slide 3- 17
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 18 Derivative of ln x
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 19 Example Derivative of ln x
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 20 Derivative of log a x
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 21 Rule 10 Power Rule For Arbitrary Real Powers
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 22 Example Power Rule For Arbitrary Real Powers
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 23 Logarithmic Differentiation Sometimes the properties of logarithms can be used to simplify the differentiation process, even if logarithms themselves must be introduced as a step in the process. The process of introducing logarithms before differentiating is called logarithmic differentiation.
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 24 Example Logarithmic Differentiation
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall
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Slide 3- 34 Quick Quiz Sections 3.7 – 3.9
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 35 Quick Quiz Sections 3.7 – 3.9
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 36 Quick Quiz Sections 3.7 – 3.9
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 37 Quick Quiz Sections 3.7 – 3.9
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 38 Quick Quiz Sections 3.7 – 3.9
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 39 Quick Quiz Sections 3.7 – 3.9
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Assignment 3.9.2 pages 178 – 180, # 11 – 27odds, 31,37, 39, 41, 56 and 64 Slide 3- 40
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