Review — Difficulty 2/10

Calculus III · Vector calculus

Review skills for this standard. Write answers where shown.

Together with a parent

1. Find lim(x→7) (x² − 49)/(x − 7) = ___ 2. If f(x) = 7x³ − 8x, find f′(6) = ___ 3. ∫₀^7 (8x + 1) dx = ___

Written review

1. Find lim(x→9) (x² − 81)/(x − 9) = ___ 2. If f(x) = 9x³ − 10x, find f′(8) = ___ 3. ∫₀^9 (10x + 1) dx = ___ 4. Find critical points of f(x) = x² − 18x + 12 ___ 5. Related rates: radius grows 8 cm/s. Find dV/dt when r = 10. ___ 6. State the meaning of f′(a) in context. ___

_See printable PDF for diagram._

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Skills checklist

• [ ] Computes limits and derivatives accurately
• [ ] Sets up and evaluates definite integrals

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