📖 From Calculus • 5. The derivative in graphing and applications • 27 questions available
Practice MCQs for Inflection Points In Applications. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.
🔄 Last updated: 2026-07-15
Q1. A manufacturing firm’s cost function is \(C(x)=2x^{3}-15x^{2}+36x+50\). At which value of \(x\) does the cost curve change concavity?
💡 Difficulty: easy | ✅ Correct: C
Q2. A drug’s concentration in the bloodstream over time (hours) is modeled by \(f(t)= -0.5t^{3}+3t^{2}+2t+5\). When does the rate of increase shift from accelerating to decelerating?
💡 Difficulty: medium | ✅ Correct: B
Q3. A logistics company models travel time \(T(d)=4d^{3}-48d^{2}+180d+20\) for distance \(d\) (in hundreds of miles). At which distance does the travel‑time curve shift from concave up to concave down?
💡 Difficulty: hard | ✅ Correct: B
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