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Continuity and Differentiability — Practice Questions

JEE Advanced · Mathematics

Free Continuity and Differentiability practice questions for JEE Advanced Mathematics 2026 — chapter-wise MCQs with answers and detailed solutions.

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A Cartesian coordinate system showing the step-like graph of the signum function, f(x) = -1 for x<0, 0 for x=0, and 1 for x>0.
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Practice Questions — Continuity and Differentiability

55 questions available from Continuity and Differentiability for JEE Advanced Mathematics.

Question Types

multiple choicenumericalassertion reasoning

Sample Questions

1multiple choice1 marks

For what value of k is the function f(x) = {2x + 1, x < 1; kx + 3, x ≥ 1} continuous at x = 1?

2multiple choice1 marks

Which of the following functions is continuous at x = 0?

3multiple choice1 marks

If f(x) = x² - 4x + 3, then f'(2) using first principles is:

4multiple choice1 marks

The function f(x) = |x - 1| is not differentiable at:

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Frequently Asked Questions

What topics are covered in Continuity and Differentiability for JEE Advanced?
Continuity and Differentiability is an important chapter in JEE Advanced Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Continuity of Functions, Types of Discontinuities, Differentiability, Continuity and Differentiability of Composite Functions.
How important is Continuity and Differentiability for JEE Advanced?
Continuity and Differentiability is a frequently tested chapter in JEE Advanced Mathematics. Questions from this chapter appear regularly in previous year papers. There are 55 practice questions available for this chapter.
How to prepare Continuity and Differentiability for JEE Advanced?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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