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Differentiation Questions

Practice 25 Differentiation questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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25
Total Questions
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0
Easy
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24
Medium
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1
Hard
Practice by Exam:Mathematics(23)Physics(2)

About Differentiation — practice questions, PYQs & concepts

Differentiation is a frequently-tested topic on Mathematics, Physics. ExamTest.live currently lists 25 Differentiation 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 — every answer key is free, no sign-up required.

Differentiation weight in competitive exams

Across our Differentiation question bank, the largest sources are Mathematics (23) and Physics (2). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy Differentiation questions are available — 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 — the explanation often surfaces a faster approach you can reuse.

All Differentiation Questions(1–25 of 25)

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Q1mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
If , then the value of at is:
Q2mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
A function satisfies the equation for all ; . Suppose that the function is differentiable at and . If , then the value of is:
Q3mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
The normal to the curve at meets the curve again at two points and . The length of the line segment is:
Q4mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
If , then at is:
Q5mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
If , then at is:
Q6mediummcqMathematicsMathematics Mock Test - 12026
9% accuracy
Given and . The derivative of with respect to is:
Q7mediummcqMathematicsMathematics Mock Test - 12026
0% accuracy
If , then is:
Q8mediummcqMathematicsMathematics Mock Test - 12026
18% accuracy
Let be a differentiable function defined for all such that for all . Then the value of is:
Q9mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
Let be the inverse of an invertible function which is differentiable at , then equals:
Q10mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
Let , and , then is:
Q11mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
If , then find the value of at .
Q12mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
If , then find .
Q13mediummcqMathematicsAIEEE 20062026
0% accuracy
If , then is:
Q14mediummcqMathematicsMathematics Mock Test - 112026
If and , then at , which of the following is true?
Q15mediummcqMathematicsMathematics Mock Test - 112026
Let satisfy . Then the value of at equals:
Q16mediummcqMathematicsMathematics Mock Test - 112026
If for all such that and , then the value of is:
Q17mediummcqMathematicsMathematics Mock Test - 32026
The differential coefficient of when is:
Q18mediummcqMathematicsMathematics Mock Test - 82026
If , , then the derivative of at is:
Q19mediummcqMathematicsMathematics Mock Test - 82026
If and , then
Q20mediummcqMathematicsJEE Main2026
If , then at is equal to:
Q21hardmcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
equals:
Q22mediummcqMathematicsAIEEE2026
Let be a differentiable function with and . Let . Then
Q23mediummcqMathematicsAIEEE 20092026
Let be an implicit function of defined by . Then equals:
Q24mediummcqPhysicsPhysics
3% accuracy
In some appropriate units, time () and position () relation of a moving particle is given by . The acceleration of the particle is:
Q25mediummcqPhysicsPhysics
The electric potential at a point is given by . The electric field at that point is:

Frequently Asked Questions

How many Differentiation questions are on ExamTest.live?▼
We have 25 Differentiation questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Differentiation MCQs free?▼
Yes. All Differentiation questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Differentiation questions?▼
Differentiation questions are commonly asked in Mathematics, Physics. You can filter by exam using the links above.
How do I practice Differentiation questions effectively?▼
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.