Unit 5: Analytical Applications of Differentiation
AP Calculus ABAnalytical Applications of Differentiation
What you will learn
Key theorems and tests
Critical formulas
Topics in this unit
Why this unit matters
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Unit 5 topics
Unit 5 overview15.1 Using the Mean Value Theorem25.2 Extreme Value Theorem and Critical Points35.3 Determining Intervals of Increasing and Decreasing45.4 Using the First Derivative Test55.5 Using the Candidates Test for Absolute Extrema65.6 Determining Concavity and Points of Inflection75.7 Using the Second Derivative Test85.8 Sketching Curves of Functions and Their Derivatives95.9 Connecting f, f', and f''105.10 Solving Optimization Problems