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Unit 5: Analytical Applications of Differentiation

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

Read the graphs or formulas of f, f' and f'' against each other, and justify where f increases, peaks, bends, and has points of inflection.

Topic 5.9 · 11 min read

This lesson comes with the AP Calculus AB plan

In this lesson

  1. 01One graph, read three ways
  2. 02What a graph of can and cannot tell you
  3. 03Justifications that earn the point
  4. 04Worked examples
  5. 05Where students lose points
  6. 06On the exam

The first units’ lessons are free. The plan opens every lesson, every practice question with worked solutions, your study plan and calendar, for $14.49 a month. Cancel any time.