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📝 DIFFERENTIALS

📖 From Calculus • 4. Topics in Differentiation • 25 questions available

Practice MCQs for DIFFERENTIALS. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-14

8
Easy Questions
8
Medium Questions
9
Hard Questions

📝 Sample Questions

Q1. The differential \(dy\) is related to the derivative by:

🔹 A. \(dy = dx\)
🔹 B. \(dy = f'(x)\)
🔹 C. \(dy = \frac{dx}{f'(x)}\)
🔹 D. \(\frac{dy}{dx} = f'(x)\)

💡 Difficulty: easy | ✅ Correct: D

Q2. For \(y = x^2 + 3x\), find \(dy\) when \(x = 1\) and \(dx = 0.02\).

🔹 A. \(0.2\)
🔹 B. \(0.1\)
🔹 C. \(0.01\)
🔹 D. \(0.05\)

💡 Difficulty: medium | ✅ Correct: B

Q3. Find \(dy\) for \(y = x^5\) when \(x = 2\) and \(dx = 0.01\).

🔹 A. \(0.32\)
🔹 B. \(0.8\)
🔹 C. \(0.16\)
🔹 D. \(0.04\)

💡 Difficulty: hard | ✅ Correct: B

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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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