Unit 5: Analytical Applications of Differentiation
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Lesson 1
5.1 Using the Mean Value Theorem
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Lesson 2
5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
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Lesson 3
5.3 Determining Intervals on Which a Function Is Increasing or Decreasing
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Lesson 4
5.4 Using the First Derivative Test to Determine Relative (Local) Extrema
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Lesson 5
5.5 Using the Candidates Test to Determine Absolute (Global) Extrema
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Lesson 6
5.6 Determining Concavity of Functions over Their Domains
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Lesson 7
5.7 Using the Second Derivative Test to Determine Extrema
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Lesson 8
5.8 Sketching Graphs of Functions and Their Derivatives
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Lesson 9
5.9 Connecting a Function, Its First Derivative, and Its Second Derivative
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Lesson 10
5.10 Introduction to Optimization Problems
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Lesson 11
5.11 Solving Optimization Problems
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Lesson 12
5.12 Exploring Behaviors of Implicit Relations
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