4.2 Applications of the Second Derivativenhmath.lonestar.edu/Faculty/TurnellE/1325/4.2.pdf ·...

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4.2 Applications of the Second Derivative Objectives: 1. Given a graph, determine the intervals where the graph is concave up/down. 2. Given a graph, determine the inflection points. 3. Match the graph of the function given different information. 4. Use the second derivative to determine concavity. 5. Use the derivative to determine inflection points. 6. Use the derivative to determine the relative extrema Given a graph, determine the intervals where the graph is concave up/down.

Transcript of 4.2 Applications of the Second Derivativenhmath.lonestar.edu/Faculty/TurnellE/1325/4.2.pdf ·...

Page 1: 4.2 Applications of the Second Derivativenhmath.lonestar.edu/Faculty/TurnellE/1325/4.2.pdf · 2011-10-23 · 4.2 Applications of the Second Derivative Objectives: 1. Given a graph,

4.2 Applications of the Second Derivative

Objectives:

1. Given a graph, determine the intervals where the graph is concave up/down.

2. Given a graph, determine the inflection points.

3. Match the graph of the function given different information.

4. Use the second derivative to determine concavity.

5. Use the derivative to determine inflection points.

6. Use the derivative to determine the relative extrema

Given a graph, determine the intervals where the graph is concave up/down.

Page 2: 4.2 Applications of the Second Derivativenhmath.lonestar.edu/Faculty/TurnellE/1325/4.2.pdf · 2011-10-23 · 4.2 Applications of the Second Derivative Objectives: 1. Given a graph,

Match the graph to the function with the specified properties.

Page 3: 4.2 Applications of the Second Derivativenhmath.lonestar.edu/Faculty/TurnellE/1325/4.2.pdf · 2011-10-23 · 4.2 Applications of the Second Derivative Objectives: 1. Given a graph,
Page 4: 4.2 Applications of the Second Derivativenhmath.lonestar.edu/Faculty/TurnellE/1325/4.2.pdf · 2011-10-23 · 4.2 Applications of the Second Derivative Objectives: 1. Given a graph,
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Families of curves (4.2) - UCSD Mathematicsmath.ucsd.edu/~barnold/math10a/Lessons/s/2-23 lesson.pdf · 2/23 Families of curves (4.2) Review inflection points, First and Second Derivative

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The Second Law: The Conceptsmutuslab.cs.uwindsor.ca/schurko/introphyschem/lecture… ·  · 2007-10-19The Second Law: The Concepts Sections 4.1 and 4.2, ... Arbitrarily near to any

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