Review — Difficulty 1/10
Calculus BC · AP · Limits and Continuity
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._
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Skills checklist
- [ ] Computes limits and derivatives accurately
- [ ] Sets up and evaluates definite integrals
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