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Unit 5: Analytical Applications of Differentiation

Determining Concavity of Functions over Their Domains

Decide where a graph is concave up or concave down from its first or second derivative, and find and justify its points of inflection.

Topic 5.6 · 8 min read

This lesson comes with the AP Calculus AB plan

In this lesson

  1. 01Concavity is about the slope changing
  2. 02The second derivative decides
  3. 03Points of inflection
  4. 04Worked examples
  5. 05Where students lose points
  6. 06On the exam

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