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Copyright © 2015, 2012, and 2009 Pearson Education, Inc. 1 Section 5.3 Connecting f′ and f″ with the graph of f Applications of Derivatives Chapter 5
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 2 Quick Review
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 3 Quick Review
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 4 Quick Review Solutions
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 5 Quick Review Solutions
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 6 What you’ll learn about Intervals of increase or decrease Both First and Second Derivative Tests for local extrema Intervals of upward or downward concavity Points of inflection Identification of key features of functions and their derivatives …and why Differential calculus is a powerful problem-solving Tool precisely because of its usefulness for analyzing functions.
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 7 First Derivative Test for Local Extrema
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 8 First Derivative Test for Local Extrema
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 9 First Derivative Test for Local Extrema
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 10 First Derivative Test for Local Extrema
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 11 First Derivative Test for Local Extrema
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 12 First Derivative Test for Local Extrema
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 13 First Derivative Test for Local Extrema
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 14 Example Using the First Derivative Test
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 15 Concavity
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 16 Concavity
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 17 Concavity Test
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 18 Example Determining Concavity
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 19 Point of Inflection
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 20 Example Finding Points of Inflection
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 21 Second Derivative Test for Local Extrema
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 22 Example Using the Second Derivative Test
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 23 Learning about Functions from Derivatives
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 24 Quick Quiz for Sections 5.1 – 5.3
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 25 Quick Quiz for Sections 5.1 – 5.3
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 26 Quick Quiz for Sections 5.1 – 5.3
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 27 Quick Quiz for Sections 5.1 – 5.3
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 28 Quick Quiz for Sections 5.1 – 5.3
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Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 29 Quick Quiz for Sections 5.1 – 5.3
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