📝 DERIVATIVES OF LOGARITHMIC FUNCTIONS

📖 From Calculus • 4. Topics in Differentiation • 31 questions available

Practice MCQs for DERIVATIVES OF LOGARITHMIC FUNCTIONS. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-14

Easy Questions

Medium Questions

Hard Questions

📝 Sample Questions

Q1. Find \(\frac{d}{dx}[\ln x]\).

🔹 A. \(-\frac{1}{x}, x > 0\)

🔹 B. \(\frac{1}{x}, x > 0\)

🔹 C. \(x\)

🔹 D. \(\frac{1}{x}, x \neq 0\)

💡 Difficulty: easy | ✅ Correct: B

Q2. Find \(\frac{d}{dx}[\ln(x^2 + 1)]\).

🔹 A. \(\frac{1}{x^2 + 1}\)

🔹 B. \(\frac{2x}{x^2 + 1}\)

🔹 C. \(\frac{x}{x^2 + 1}\)

🔹 D. \(\frac{2x}{x^2}\)

💡 Difficulty: medium | ✅ Correct: B

Q3. Find \(\frac{d}{dx}[\ln(\ln x)]\).

🔹 A. \(\frac{1}{x\ln x}, x > 0\)

🔹 B. \(\frac{1}{x\ln x}, x > 1\)

🔹 C. \(\frac{1}{\ln x}, x > 0\)

🔹 D. \(\frac{1}{x}, x > 1\)

💡 Difficulty: hard | ✅ Correct: B

⬆️ 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