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AP Calculus BC

Unit 5: Analytical Applications of Differentiation

8–11% of exam score

The Mean Value Theorem, Extreme Value Theorem, increasing and decreasing intervals, concavity, and optimization.

f′(c)=f(b)−f(a)b−af'(c) = \frac{f(b) - f(a)}{b - a}

What this unit covers

  • Mean Value and Extreme Value Theorems

  • First and second derivative tests

  • Concavity and points of inflection

  • Optimization

Other units in AP Calculus BC