📝 DERIVATIVES OF INVERSE TRIG FUNCTIONS

📖 From Calculus • 4. Topics in Differentiation • 38 questions available

Practice MCQs for DERIVATIVES OF INVERSE TRIG FUNCTIONS. 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. Find \(\frac{d}{dx}[\sin^{-1}x]\).

🔹 A. \(-\frac{1}{\sqrt{1-x^2}}\)

🔹 B. \(\frac{1}{1+x^2}\)

🔹 C. \(\frac{1}{\sqrt{1-x^2}}\)

🔹 D. \(\frac{1}{\sqrt{1+x^2}}\)

💡 Difficulty: easy | ✅ Correct: C

Q2. Find \(\frac{d}{dx}[\cot^{-1}x]\).

🔹 A. \(\frac{1}{1+x^2}\)

🔹 B. \(\frac{1}{\sqrt{1-x^2}}\)

🔹 C. \(-\frac{1}{1+x^2}\)

🔹 D. \(-\frac{1}{\sqrt{1-x^2}}\)

💡 Difficulty: medium | ✅ Correct: C

Q3. Find \(\frac{d}{dx}[\sin^{-1}(x^2)]\).

🔹 A. \(\frac{2x}{\sqrt{1-x^2}}\)

🔹 B. \(\frac{x}{\sqrt{1-x^4}}\)

🔹 C. \(\frac{1}{\sqrt{1-x^4}}\)

🔹 D. \(\frac{2x}{\sqrt{1-x^4}}\)

💡 Difficulty: hard | ✅ Correct: D

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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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