📖 From Calculus • 5. The derivative in graphing and applications • 26 questions available
Practice MCQs for First Derivative Test. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.
🔄 Last updated: 2026-07-15
Q1. Which interval correctly describes where the function \(q(x)=\sin x\) is increasing?
💡 Difficulty: easy | ✅ Correct: A
Q2. A company’s profit function is \(P(t)= -2t^3+9t^2+15t-5\) (thousands of dollars). Using the First Derivative Test, at which time \(t\) does profit attain a local maximum?
💡 Difficulty: medium | ✅ Correct: B
Q3. A company's profit function is \(P(q)= -0.2q^3+3q^2+50q-200\). Using the First Derivative Test, at which production level \(q\) does profit have a local minimum?
💡 Difficulty: hard | ✅ Correct: C
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