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AP Calculus AB/BC
Unit 5
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AP Calculus AB/BC Unit 5 Vocabulary
58 essential vocabulary terms and definitions for Unit 5 – Analytical Applications of Differentiation
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Unit 5 – Analytical Applications of Differentiation
Topics
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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