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Library AP Calculus AB/BC Unit 4: Contextual Applications of Differentiation
⁂   AP Calculus AB/BC · Unit 4

4. Contextual Applications of Differentiation

10–15% of the AP exam. Key topics: Interpretation of the derivative as an instantaneous rate of change, Related rates problems, Linear approximation using the tangent line (local linearization), L'Hôpital's Rule for indeterminate forms (0/0, ∞/∞), Motion problems: position, velocity, acceleration, and speed, Interpreting the sign of velocity and acceleration.

10 instructional periods 10–15% exam weight AB track

Unit 4: Contextual Applications of Differentiation

Study guide content for this unit is being prepared. Check back soon for complete lesson notes, formula sheets, and worked examples.

Topics in this unit

  • Interpretation of the derivative as an instantaneous rate of change
  • Related rates problems
  • Linear approximation using the tangent line (local linearization)
  • L'Hôpital's Rule for indeterminate forms (0/0, ∞/∞)
  • Motion problems: position, velocity, acceleration, and speed
  • Interpreting the sign of velocity and acceleration

Worked FRQ Solutions

Free-response questions from past AP exams that test this unit's concepts.