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Continuity And Differentiability — Practice Questions

CUSAT CAT · Mathematics

Free Continuity And Differentiability practice questions for CUSAT CAT Mathematics 2026 — chapter-wise MCQs with answers and detailed solutions.

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A graph of a continuous function at a specific point, showing the limit approaching the function value, illustrating that the function is unbroken and defined at that point.
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Practice Questions — Continuity And Differentiability

455 questions available from Continuity And Differentiability for CUSAT CAT Mathematics.

Question Types

multiple choicemultiple correctnumericalassertion reasoning

Sample Questions

1multiple choice1 marks

Find the value of k for which the function f(x) = {(x² - 4)/(x - 2) for x ≠ 2, k for x = 2} is continuous at x = 2.

2multiple choice1 marks

Check if f(x) = |x - 3| is differentiable at x = 3.

3multiple choice1 marks

Find dy/dx if y = sin⁻¹(x).

4multiple choice1 marks

If f(x) = eˣ, find f'(x).

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Frequently Asked Questions

What topics are covered in Continuity And Differentiability for CUSAT CAT?
Continuity And Differentiability is an important chapter in CUSAT CAT Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Continuity of Functions, Differentiability of Functions, Derivatives of Inverse Trigonometric Functions, Exponential and Logarithmic Functions.
How important is Continuity And Differentiability for CUSAT CAT?
Continuity And Differentiability is a frequently tested chapter in CUSAT CAT Mathematics. Questions from this chapter appear regularly in previous year papers. There are 455 practice questions available for this chapter.
How to prepare Continuity And Differentiability for CUSAT CAT?
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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