1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 1 Quick Review

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

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 4 Quick Review Solutions

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 5 Quick Review

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 6 Quick Review Solutions

7. Slide 3- 7

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 3.3 Rules for Differentiation

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 9 What you’ll learn about Positive Integer Powers, Multiples, Sums and Differences Products and Quotients Negative Integer Powers of x Second and Higher Order Derivatives … and why These rules help us find derivatives of functions analytically in a more efficient way.

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 10 Rule 1 Derivative of a Constant Function

11. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 11 Rule 2 Power Rule for Positive Integer Powers of x.

12. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 12 Rule 3 The Constant Multiple Rule

13. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 13 Rule 4 The Sum and Difference Rule

14. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 14 Example Positive Integer Powers, Multiples, Sums, and Differences

15. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 15 Example Positive Integer Powers, Multiples, Sums, and Differences

16. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 16 Rule 5 The Product Rule

17. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 17 Example Using the Product Rule

18. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 18 Rule 6 The Quotient Rule

19. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 19 Example Using the Quotient Rule

20. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 20 Rule 7 Power Rule for Negative Integer Powers of x

21. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 21 Example Negative Integer Powers of x

22. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Negative Integer Powers of x (cont) Slide 3- 22

23. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 23 Second and Higher Order Derivatives

24. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 24 Second and Higher Order Derivatives

25. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 25 Quick Quiz Sections 3.1 – 3.3

26. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 26 Quick Quiz Sections 3.1 – 3.3

27. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 27 Quick Quiz Sections 3.1 – 3.3

28. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 28 Quick Quiz Sections 3.1 – 3.3

29. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 29 Quick Quiz Sections 3.1 – 3.3

30. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 30 Quick Quiz Sections 3.1 – 3.3