Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 2.3 Product and Quotient Rules for Differentiation
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 2 Quick Review Find the limits:
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Quick Review - Solutions Slide 3- 3
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 4 What you’ll learn about Positive Integer Powers, Multiples, Sums and Differences Products and Quotients 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- 5 The Constant Multiple Rule The Sum and Difference Rule
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 6 Power Rule Trigonometric Rules
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 7 Examples Find the derivative of the following functions:
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 8 Examples - Solutions Find the derivative of the following functions:
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 9 Example Horizontal Tangents A horizontal tangent is where is the slope of the tangent line is equal to 0,
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 10
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 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 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 Example: Finding the Slope of a Graph 1.Find the slope of the graph at the point 2.Find the slope of the graph at the point
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example: Finding the Equation of a Tangent Line 1.Find the equation of the tangent line to the graph at the point 2.Find the equation of the tangent line to the graph at the point
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 Slide Quick Quiz Sections 2.1 – 2.3
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz Sections 2.1 – 2.3
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz Sections 2.1 – 2.3
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz Sections 2.1 – 2.3
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz Sections 2.1 – 2.3
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz Sections 2.1 – 2.3