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Library AP Calculus AB/BC Unit 2: Differentiation: Definition and Fundamental Properties
⁂   AP Calculus AB/BC · Unit 2

2. Differentiation: Definition and Fundamental Properties

10–12% of the AP exam. Key topics: Limit definition of the derivative, Differentiability and its relationship to continuity, Power rule, Sum, difference, and constant multiple rules, Derivatives of trigonometric functions (sin, cos, tan, csc, sec, cot), Derivatives of exponential functions (e^x, a^x), Derivatives of natural logarithm and general logarithms, Product rule, Quotient rule.

13 instructional periods 10–12% exam weight AB track

Unit 2: Differentiation: Definition and Fundamental Properties

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

  • Limit definition of the derivative
  • Differentiability and its relationship to continuity
  • Power rule
  • Sum, difference, and constant multiple rules
  • Derivatives of trigonometric functions (sin, cos, tan, csc, sec, cot)
  • Derivatives of exponential functions (e^x, a^x)
  • Derivatives of natural logarithm and general logarithms
  • Product rule
  • Quotient rule