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Derivatives Questions

Practice 13 Derivatives questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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13
Total Questions
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0
Easy
๐ŸŸก
10
Medium
๐Ÿ”ด
3
Hard
Practice by Exam:Mathematics(13)

About Derivatives โ€” practice questions, PYQs & concepts

Derivatives is a frequently-tested topic on Mathematics. ExamTest.live currently lists 13 Derivatives questions spanning previous-year papers from 2004 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.

Derivatives weight in competitive exams

Across our Derivatives question bank, the largest sources are Mathematics (13). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy Derivatives 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 Derivatives Questions(1โ€“13 of 13)

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Q1mediummcqMathematicsMathematics Mock Test - 62026
17% accuracy
If , then the derivative of the composite function is equal to:
Q2mediummcqMathematicsMathematics Mock Test - 62026
9% accuracy
Let and , then is:
Q3mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
Derivative of w.r.t. is:
Q4mediummcqMathematicsMathematics Mock Test - 52026
50% accuracy
If has critical points at and , then the values of the constants and are respectively:
Q5mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
Let and be differentiable functions on such that is the identity function. If for some , and , then is equal to:
Q6mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
Let be a differentiable function such that and for all . If , then is equal to:
Q7mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If the slope of the tangent to curve at a point is equal to the ordinate of the point, then the point is:
Q8mediummcqMathematicsAIEEE-CBSE-ENG-032026
If , then the value of is:
Q9mediummcqMathematicsAIEEE-CBSE-ENG-032026
Let and their th derivatives exist and are not equal for some . Further if , then the value of is:
Q10mediummcqMathematicsAIEEE 20042004
0% accuracy
A point on the parabola at which the ordinate increases at twice the rate of the abscissa is
Q11hardmcqMathematicsAIEEE 20042004
0% accuracy
A function has a second order derivative If its graph passes through the point and at that point the tangent to the graph is then the function is
Q12hardmcqMathematicsAIEEE 20042004
0% accuracy
If then is
Q13hardmcqMathematicsAIEEE 20042004
0% accuracy
The normal to the curve at ' ' always passes through the fixed point

Frequently Asked Questions

How many Derivatives questions are on ExamTest.live?โ–ผ
We have 13 Derivatives questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Derivatives MCQs free?โ–ผ
Yes. All Derivatives questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Derivatives questions?โ–ผ
Derivatives questions are commonly asked in Mathematics. You can filter by exam using the links above.
How do I practice Derivatives 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.