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📝 Slopes and Rates of Change in Derivation

📖 From Calculus • 3. The Derivation • 28 questions available

Practice MCQs for Slopes and Rates of Change in Derivation. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-13

8
Easy Questions
12
Medium Questions
8
Hard Questions

📝 Sample Questions

Q1. For \(y = 3x + 5\), what is the rate of change of \(y\) with respect to \(x\)?

🔹 A. \(3\)
🔹 B. \(5\)
🔹 C. \(-3\)
🔹 D. \(8\)

💡 Difficulty: easy | ✅ Correct: A

Q2. Find the average rate of change of \(y = x^3\) over \([1,3]\).

🔹 A. \(13\)
🔹 B. \(12\)
🔹 C. \(14\)
🔹 D. \(9\)

💡 Difficulty: medium | ✅ Correct: A

Q3. Find the instantaneous rate of change of \(y = \cos x\) at \(x = \frac{\pi}{2}\).

🔹 A. \(-1\)
🔹 B. \(1\)
🔹 C. \(0\)
🔹 D. \(\frac{\pi}{2}\)

💡 Difficulty: hard | ✅ Correct: A

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🔗 Related Topics

📝 Approximating Roots📝 Areas and Limits📝 Continuity in Applications📝 Continuity of Compositions📝 Continuity of Inverse Functions
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