Review — Difficulty 1/10

Calculus II · Sequences and series

Review skills for this standard. Write answers where shown.

Together with a parent

1. Find lim(x→6) (x² − 36)/(x − 6) = ___ 2. If f(x) = 6x³ − 7x, find f′(5) = ___ 3. ∫₀^6 (7x + 1) dx = ___

Written review

1. Find lim(x→8) (x² − 64)/(x − 8) = ___ 2. If f(x) = 8x³ − 9x, find f′(7) = ___ 3. ∫₀^8 (9x + 1) dx = ___ 4. Find critical points of f(x) = x² − 16x + 11 ___ 5. Related rates: radius grows 7 cm/s. Find dV/dt when r = 9. ___ 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

___________________________ ___________________________ ___________________________ ___________________________