# Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 4.3 Connecting f ’ and f ” with the graph of f.

## Presentation on theme: "Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 4.3 Connecting f ’ and f ” with the graph of f."— Presentation transcript:

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 4.3 Connecting f ’ and f ” with the graph of f

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 2 Quick Review

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

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

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 5 Quick Review Solutions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 6 What you’ll learn about First Derivative Test for Local Extrema Concavity Points of Inflection Second Derivative Test for Local Extrema Learning about Functions from Derivatives …and why Differential calculus is a powerful problem-solving tool precisely because of its usefulness for analyzing functions.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 7 First Derivative Test for Local Extrema

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 8 First Derivative Test for Local Extrema

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 9 Example Using the First Derivative Test

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 10 Concavity

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 11 Concavity

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 12 Concavity Test

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 13 Example Determining Concavity

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 14 Point of Inflection

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 15 Example Finding Points of Inflection

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 16 Second Derivative Test for Local Extrema

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 17 Example Using the Second Derivative Test

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 18 Learning about Functions from Derivatives

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 19 Quick Quiz for Sections 4.1-4.3

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 20 Quick Quiz for Sections 4.1-4.3

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 21 Quick Quiz for Sections 4.1-4.3

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 22 Quick Quiz for Sections 4.1-4.3

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 23 Quick Quiz for Sections 4.1-4.3

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 24 Quick Quiz for Sections 4.1-4.3

Download ppt "Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 4.3 Connecting f ’ and f ” with the graph of f."

Similar presentations