Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Rules for Differentiation Section 3.3
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 2 Quick Review
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 3 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.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 4 Rule 1 Derivative of a Constant Function
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 5 Rule 2 Power Rule for Positive Integer Powers of x.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 6 Rule 3 Power Rule for Negative Integer Powers of x
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 7 Rule 4 The Constant Multiple Rule
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 8 Rule 5 The Sum and Difference Rule
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 9 Example Positive Integer Powers, Multiples, Sums, and Differences
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Positive Integer Powers, Multiples, Sums, and Differences
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Negative Integer Powers of x
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Worksheet 3.3 Slide 3- 12
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Rule 6 The Product Rule
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Using the Product Rule
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Rule 7 The Quotient Rule
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Using the Quotient Rule
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Second and Higher Order Derivatives
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Second and Higher Order Derivatives
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Page 120 (11-19, 23-26, 33, 34) Slide 3- 19