← Back to 3. The Derivation

📝 Higher Derivatives

📖 From Calculus • 3. The Derivation • 29 questions available

Practice MCQs for Higher Derivatives. 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
9
Hard Questions

📝 Sample Questions

Q1. What is the second derivative of \(f(x) = x^4\)?

🔹 A. \(12x^2\)
🔹 B. \(4x^3\)
🔹 C. \(24x^2\)
🔹 D. \(12x^3\)

💡 Difficulty: easy | ✅ Correct: A

Q2. Find \(f''(x)\) for \(f(x) = 2x^5\).

🔹 A. \(40x^3\)
🔹 B. \(10x^4\)
🔹 C. \(40x^4\)
🔹 D. \(20x^3\)

💡 Difficulty: medium | ✅ Correct: A

Q3. If \(f(x) = x^n\), what is \(f^{(n)}(x)\)?

🔹 A. \(n!\)
🔹 B. \(n\)
🔹 C. \(n!x\)
🔹 D. \(0\)

💡 Difficulty: hard | ✅ Correct: A

⬆️ View all questions in the quiz below

🔗 Related Topics

📝 Approximating Roots📝 Areas and Limits📝 Continuity in Applications📝 Continuity of Compositions📝 Continuity of Inverse Functions
🚀 Start Quiz 📝 Practice Mode