📝 LOCAL LINEAR APPROXIMATION FROM DIFFERENTIAL VIEW

📖 From Calculus • 4. Topics in Differentiation • 20 questions available

Practice MCQs for LOCAL LINEAR APPROXIMATION FROM DIFFERENTIAL VIEW. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-14

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📝 Sample Questions

Q1. From the differential point of view, \(f(x) \approx f(x_0) + f'(x_0)(x-x_0)\) is equivalent to:

🔹 A. \(\Delta y > dy\)

🔹 B. \(\Delta y = dy\)

🔹 C. \(\Delta y \approx dy\)

🔹 D. \(\Delta y < dy\)

💡 Difficulty: easy | ✅ Correct: C

Q2. Using differentials, approximate \(\ln 0.98\).

🔹 A. \(0.01\)

🔹 B. \(-0.02\)

🔹 C. \(-0.01\)

🔹 D. \(0.02\)

💡 Difficulty: medium | ✅ Correct: B

Q3. Using differentials, approximate \(\sqrt{4.02}\).

🔹 A. \(2.02\)

🔹 B. \(2.0005\)

🔹 C. \(2.005\)

🔹 D. \(2.01\)

💡 Difficulty: hard | ✅ Correct: C

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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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