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Unit 5 of 8

Analytical Applications of Differentiation

12 lessons in AP® Calculus AB. Start free in Stellar for the full interactive lessons, practice, and progress tracking.

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UnitsLessons
  1. 01Limits and Continuity16
  2. 02Differentiation: Definition and Basic Derivative Rules10
  3. 03Differentiation: Composite, Implicit, and Inverse Functions6
  4. 04Contextual Applications of Differentiation7
  5. 05Analytical Applications of Differentiation12
  6. 06Integration and Accumulation of Change11
  7. 07Differential Equations7
  8. 08Applications of Integration12
Units of AP® Calculus ABFull outline

Lessons

12 lessons in this unit

  1. 5.1Using the Mean Value TheoremPreview lesson
  2. 5.2Extreme Value Theorem, Global Versus Local Extrema, and Critical PointsPreview lesson
  3. 5.3Determining Intervals on Which a Function Is Increasing or DecreasingPreview lesson
  4. 5.4Using the First Derivative Test to Determine Relative (Local) ExtremaPreview lesson
  5. 5.5Using the Candidates Test to Determine Absolute (Global) ExtremaPreview lesson
  6. 5.6Determining Concavity of Functions over Their DomainsPreview lesson
  7. 5.7Using the Second Derivative Test to Determine ExtremaPreview lesson
  8. 5.8Sketching Graphs of Functions and Their DerivativesPreview lesson
  9. 5.9Connecting a Function, Its First Derivative, and Its Second DerivativePreview lesson
  10. 5.10Introduction to Optimization ProblemsPreview lesson
  11. 5.11Solving Optimization ProblemsPreview lesson
  12. 5.12Exploring Behaviors of Implicit RelationsPreview lesson

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