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AP Calculus BC

Unit 2: Differentiation: Definition and Fundamental Properties

4–7% of exam score

The derivative as a limit, differentiability versus continuity, and the power, product and quotient rules.

f′(x)=lim⁡h→0f(x+h)−f(x)hf'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}

What this unit covers

  • Derivative as a limit

  • Differentiability and continuity

  • Power, product and quotient rules

  • Derivatives of sin, cos, eˣ and ln x

Other units in AP Calculus BC