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📝 Power Functions

📖 From Calculus • 3. The Derivation • 28 questions available

Practice MCQs for Power Functions. 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
8
Hard Questions

📝 Sample Questions

Q1. What is \(\frac{d}{dx}[x^5]\)?

🔹 A. \(5x^4\)
🔹 B. \(x^4\)
🔹 C. \(5x^5\)
🔹 D. \(4x^5\)

💡 Difficulty: easy | ✅ Correct: A

Q2. What is \(\frac{d}{dx}[x^{10}]\)?

🔹 A. \(10x^9\)
🔹 B. \(x^9\)
🔹 C. \(10x^{10}\)
🔹 D. \(9x^{10}\)

💡 Difficulty: medium | ✅ Correct: A

Q3. What is the proof of the Power Rule based on?

🔹 A. Binomial expansion
🔹 B. Chain rule
🔹 C. Product rule
🔹 D. Quotient rule

💡 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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