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Differentiability Questions

Practice 11 Differentiability questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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Practice by Exam:Mathematics(11)

About Differentiability โ€” practice questions, PYQs & concepts

Differentiability is a frequently-tested topic on Mathematics. ExamTest.live currently lists 11 Differentiability questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year โ€” every answer key is free, no sign-up required.

Differentiability weight in competitive exams

Across our Differentiability question bank, the largest sources are Mathematics (11). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy Differentiability questions are available โ€” build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right โ€” the explanation often surfaces a faster approach you can reuse.

All Differentiability Questions(1โ€“11 of 11)

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Q1mediummcqMathematicsMathematics Mock Test - 12026
0% accuracy
Suppose the function is differentiable for all . Then can be any element of the interval:
Q2mediummcqMathematicsAIEEE 20062026
0% accuracy
The set of points where is differentiable is:
Q3mediummcqMathematicsAIEEE 20072026
0% accuracy
Let be a function defined by . Then which of the following is true?
Q4mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
Consider the following statements:I. The derivative, where the function attains maxima or minima, is zero.II. If a function is differentiable at a point, then it must be continuous at that point.Which of the above statement(s) is/are correct?
Q5mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
The value of in Lagrange's theorem for the function in the interval is:
Q6mediummcqMathematicsAIEEE2026
Suppose is differentiable at and , then equals:
Q7mediummcqMathematicsAIEEE2026
If is a real-valued differentiable function satisfying for and , then equals:
Q8mediummcqMathematicsAIEEE-CBSE-ENG-032026
If then is:
Q9mediummcqMathematicsAIEEE2026
Let . Then which one of the following is true?
Q10mediummcqMathematicsAIEEE 20092026
1: is differentiable at and its derivative is continuous at that point, where and .
2: is twice differentiable at .
Q11mediummcqMathematicsAIEEE 20122026
Consider the function .Statement 1: Statement 2: is continuous in , differentiable in and .

Frequently Asked Questions

How many Differentiability questions are on ExamTest.live?โ–ผ
We have 11 Differentiability questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Differentiability MCQs free?โ–ผ
Yes. All Differentiability questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Differentiability questions?โ–ผ
Differentiability questions are commonly asked in Mathematics. You can filter by exam using the links above.
How do I practice Differentiability questions effectively?โ–ผ
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.