1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Chain Rule Section 3.6

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 2 Quick Review Solutions

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 3 Quick Review Solutions

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 4 What you’ll learn about Derivative of a Composite Function “Outside-Inside” Rule Repeated Use of the Chain Rule Power Chain Rule … and why The chain rule is the most widely used differentiation rule in mathematics.

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 5 Rule 8 The Chain Rule

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 6 Example Derivatives of Composite Functions

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 7 “Outside-Inside” Rule

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 8 Example “Outside-Inside” Rule

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 9 Example Repeated Use of the Chain Rule

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 10 Power Chain Rule

11. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Pages 146-147 (1-31 odd) Slide 3- 11

12. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Pages 147-148 (33-37 odd, 57, 61) Slide 3- 12