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- 5.9 Connecting a Function, Its First Derivative, and Its Second Derivative
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Classroom Contents
AP Calculus AB and BC - Analytical Applications of Differentiation
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- 1 - Introduction
- 2 - 5.1 Using the Mean Value Theorem
- 3 - 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
- 4 - 5.3 Determining Intervals on Which a Function Is Increasing or Decreasing
- 5 - 5.4 Using the First Derivative Test to Determine Relative (Local) Extrema
- 6 - 5.5 Using the Candidates Test to Determine Absolute (Global) Extrema
- 7 - 5.6 Determining Concavity of Functions over Their Domains
- 8 - 5.7 Using the Second Derivative Test to Determine Extrema
- 9 - 5.8 Sketching Graphs of Functions and Their Derivatives
- 10 - 5.9 Connecting a Function, Its First Derivative, and Its Second Derivative
- 11 - 5.10 Introduction to Optimization Problems
- 12 - 5.11 Solving Optimization Problems
- 13 - 5.12 Exploring Behaviors of Implicit Relations
- 14 - Summary