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AP Calculus BC

Unit 4: Contextual Applications of Differentiation

6–9% of exam score

Rates of change in context, straight-line motion, related rates, local linearization and L'Hôpital's rule.

lim⁡x→cf(x)g(x)=lim⁡x→cf′(x)g′(x); for 00,∞∞\lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)} ;\text{ for } \tfrac{0}{0}, \tfrac{\infty}{\infty}

What this unit covers

  • Rates of change in context

  • Motion along a line

  • Related rates

  • Linearization and L'Hôpital's rule

Other units in AP Calculus BC