Review — Difficulty 10/10
Calculus AB · AP · Contextual Applications of Differentiation
Review skills for this standard. Write answers where shown.
Together with a parent
1. Find lim(x→15) (x² − 225)/(x − 15) = ___ 2. If f(x) = 15x³ − 16x, find f′(14) = ___ 3. ∫₀^15 (16x + 1) dx = ___
Written review
1. Find lim(x→17) (x² − 289)/(x − 17) = ___ 2. If f(x) = 17x³ − 18x, find f′(16) = ___ 3. ∫₀^17 (18x + 1) dx = ___ 4. Find critical points of f(x) = x² − 34x + 20 ___ 5. Related rates: radius grows 16 cm/s. Find dV/dt when r = 18. ___ 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
- [ ] Explains results in applied settings
- [ ] Explains Contextual Applications of Differentiation without prompts
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