Review — Difficulty 8/10

Calculus I · Derivatives

Review skills for this standard. Write answers where shown.

Together with a parent

1. Find lim(x→13) (x² − 169)/(x − 13) = ___ 2. If f(x) = 13x³ − 14x, find f′(12) = ___ 3. ∫₀^13 (14x + 1) dx = ___

Written review

1. Find lim(x→15) (x² − 225)/(x − 15) = ___ 2. If f(x) = 15x³ − 16x, find f′(14) = ___ 3. ∫₀^15 (16x + 1) dx = ___ 4. Find critical points of f(x) = x² − 30x + 18 ___ 5. Related rates: radius grows 14 cm/s. Find dV/dt when r = 16. ___ 6. State the meaning of f′(a) in context. ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Skills checklist

• [ ] Computes limits and derivatives accurately
• [ ] Sets up and evaluates definite integrals
• [ ] Explains results in applied settings
• [ ] Explains Derivatives without prompts

___________________________ ___________________________ ___________________________ ___________________________