📝 Derivatives of Trigonometric Functions

📖 From Calculus • 3. The Derivation • 53 questions available

Practice MCQs for Derivatives of Trigonometric Functions. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-13

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📝 Sample Questions

Q1. What is \(\frac{d}{dx}[\sin x]\)?

🔹 A. \(\cos x\)

🔹 B. \(-\cos x\)

🔹 C. \(\sin x\)

🔹 D. \(-\sin x\)

💡 Difficulty: easy | ✅ Correct: A

Q2. What is the derivative of \(f(x) = x^2 \sin x\)?

🔹 A. \(2x\sin x + x^2\cos x\)

🔹 B. \(2x\sin x - x^2\cos x\)

🔹 C. \(x^2\cos x - 2x\sin x\)

🔹 D. \(2x\cos x + x^2\sin x\)

💡 Difficulty: medium | ✅ Correct: A

Q3. Find the derivative of \(f(x) = \frac{\cos x}{1 + \sin x}\).

🔹 A. \(-\frac{1}{1 + \sin x}\)

🔹 B. \(\frac{1}{1 + \sin x}\)

🔹 C. \(-\frac{\cos x}{(1+\sin x)^2}\)

🔹 D. \(\frac{\sin x}{(1+\sin x)^2}\)

💡 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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