AP Calculus AB

Unit 5: Analytical Applications of Differentiation

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AP Calculus AB

Unit 5: Analytical Applications of Differentiation

15–18% of exam score

Where you are No tests yet

A timed sectional mock on this unit

The Mean Value Theorem, the Extreme Value Theorem, increasing and decreasing intervals, the first and second derivative tests, concavity and optimization.

Key formula

f'(c) = \frac{f(b) - f(a)}{b - a} \text{ for some } c \in (a, b)

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 AB

Unit 1: Limits and Continuity
Unit 2: Differentiation: Definition and Fundamental Properties
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
Unit 4: Contextual Applications of Differentiation
Unit 6: Integration and Accumulation of Change
Unit 7: Differential Equations
Unit 8: Applications of Integration