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♾️AP Calculus AB/BC

Unit 5 Overview: Analytical Applications of Differentiation

5.1 Using the Mean Value Theorem

5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points

5.3 Determining Intervals on Which a Function is Increasing or Decreasing

5.4 Using the First Derivative Test to Determine Relative (Local) Extrema

5.5 Using the Candidates Test to Determine Absolute (Global) Extrema

5.6 Determining Concavity

5.7 Using the Second Derivative Test to Determine Extrema

5.8 Sketching Graphs of Functions and Their Derivatives

5.9 Connecting a Function, Its First Derivative, and its Second Derivative

5.10 Introduction to Optimization Problems

5.11 Solving Optimization Problems

5.12 Exploring Behaviors of Implicit Relations

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♾️ap calculus ab/bc review

Optimization Problems

Verified for the 2025 AP Calculus AB/BC exam•Last Updated on June 21, 2023

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Suzanne Ferrell-Locke

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This stream focuses on a specific application of the derivative, optimization. The general procedure for solving applied max/min problems was discussed. We then practiced with examples.

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Unit 5 Overview: Analytical Applications of Differentiation