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Library AP Calculus AB/BC Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
⁂   AP Calculus AB/BC · Unit 3

3. Differentiation: Composite, Implicit, and Inverse Functions

9–13% of the AP exam. Key topics: Chain rule for composite functions, Implicit differentiation, Derivatives of inverse functions, Derivatives of inverse trigonometric functions (arcsin, arccos, arctan), Higher-order derivatives (second, third, nth derivative).

10 instructional periods 9–13% exam weight AB track

Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

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

  • Chain rule for composite functions
  • Implicit differentiation
  • Derivatives of inverse functions
  • Derivatives of inverse trigonometric functions (arcsin, arccos, arctan)
  • Higher-order derivatives (second, third, nth derivative)

Worked FRQ Solutions

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