← Back to Calculus

4. Topics in Differentiation - Calculus

πŸ“– From Calculus β€’ 668 questions available

Practice MCQs for 4. Topics in Differentiation. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

πŸ”„ Last updated: 2026-07-14

197
Easy Questions
209
Medium Questions
262
Hard Questions

πŸ“ Topics in this Chapter

πŸ“ Sample Questions

Q1. The differential \(dy\) is related to the derivative by:

πŸ”Ή A. \(dy = dx\)
πŸ”Ή B. \(dy = f'(x)\)
πŸ”Ή C. \(dy = \frac{dx}{f'(x)}\)
πŸ”Ή D. \(\frac{dy}{dx} = f'(x)\)

πŸ’‘ Difficulty: easy | βœ… Correct: D

Q2. For \(y = x^2 + 3x\), find \(dy\) when \(x = 1\) and \(dx = 0.02\).

πŸ”Ή A. \(0.2\)
πŸ”Ή B. \(0.1\)
πŸ”Ή C. \(0.01\)
πŸ”Ή D. \(0.05\)

πŸ’‘ Difficulty: medium | βœ… Correct: B

Q3. Find \(dy\) for \(y = x^5\) when \(x = 2\) and \(dx = 0.01\).

πŸ”Ή A. \(0.32\)
πŸ”Ή B. \(0.8\)
πŸ”Ή C. \(0.16\)
πŸ”Ή D. \(0.04\)

πŸ’‘ Difficulty: hard | βœ… Correct: B

⬆️ View all questions in the quiz below

πŸš€ Start Quiz πŸ“ Practice Mode