Review — Difficulty 9/10
Calculus AB · AP · Differentiation — Composite, Implicit, and Inverse Functions
Review skills for this standard. Write answers where shown.
Together with a parent
1. Find lim(x→14) (x² − 196)/(x − 14) = ___ 2. If f(x) = 14x³ − 15x, find f′(13) = ___ 3. ∫₀^14 (15x + 1) dx = ___
Written review
1. Find lim(x→16) (x² − 256)/(x − 16) = ___ 2. If f(x) = 16x³ − 17x, find f′(15) = ___ 3. ∫₀^16 (17x + 1) dx = ___ 4. Find critical points of f(x) = x² − 32x + 19 ___ 5. Related rates: radius grows 15 cm/s. Find dV/dt when r = 17. ___ 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 Differentiation — Composite, Implicit, and Inverse Functions without prompts
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