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Mathematics - Differentiation

Practise 48 COMEDK previous year questions on Differentiation, compiled from papers spanning 2012 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty COMEDK tests.

Differentiation has been asked in 13 of the 15 years of COMEDK papers analysed (2012–2026), with 48 questions in all. 29% of them were easy, 67% moderate and 4% tough. Most of its questions came from 2025, with 9 questions that year. In the last three years (2024–2026) it had 22 questions across 9 papers, about 2.4 per paper.

The chapter's 9 topics are not weighted equally: Derivative of f(x) wrt g(x) (10 questions, 21%), Differentiation of Inverse Trigonometric Functions (8 questions, 17%), and Higher order derivatives (6 questions, 13%) have been asked the most. Over the last five years the most frequent topics have been Differentiation of Inverse Trigonometric Functions (7), Differentiation of composite functions (4), and Differentiation of implicit functions (4). Derivative of function and its inverse has produced the most tough questions (1).

  1. 1If and , then09 May, 2026 (S1)Parametric differentiation
  2. 2The derivative of is09 May, 2026 (S1)Differentiation of Inverse Trigonometric Functions
  3. 3The second derivative of is:09 May, 2026 (S2)Higher order derivatives
  4. 4If , then09 May, 2026 (S2)Logarithmic differentiation
  5. 5Given , then in terms of ' ' is25 May, 2025 (Shift)Differentiation of Inverse Trigonometric Functions
  6. 6If then10 May, 2025 (S1)Differentiation of Inverse Trigonometric Functions
  7. 7If then is equal to10 May, 2025 (S1)Differentiation of composite functions
  8. 8If , then10 May, 2025 (S1)Logarithmic differentiation
  9. 9If , then10 May, 2025 (S2)Differentiation of Inverse Trigonometric Functions
  10. 10Differentiate with respect to10 May, 2025 (S2)Derivative of f(x) wrt g(x)
  11. 11If then is equal to10 May, 2025 (S2)Differentiation of Inverse Trigonometric Functions
  12. 12If then10 May, 2025 (S3)Higher order derivatives
  13. 13If and then10 May, 2025 (S3)Parametric differentiation
  14. 14Preview not available - open to view this question.2024 (Afternoon Shift)Differentiation of implicit functions
  15. 15If , where a, b, c are some constants, then is dependent on:2024 (Afternoon Shift)Differentiation of implicit functions
  16. 16Preview not available - open to view this question.2024 (Afternoon Shift)Differentiation of composite functions
  17. 17Preview not available - open to view this question.2024 (Evening Shift)Differentiation of Inverse Trigonometric Functions
  18. 18Preview not available - open to view this question.2024 (Evening Shift)Higher order derivatives
  19. 19Preview not available - open to view this question.2024 (Evening Shift)Differentiation of implicit functions
  20. 20Preview not available - open to view this question.2024 (Morning Shift)Differentiation of implicit functions
  21. 21Preview not available - open to view this question.2024 (Morning Shift)Differentiation of Inverse Trigonometric Functions
  22. 22Preview not available - open to view this question.2024 (Morning Shift)Logarithmic differentiation
  23. 23Preview not available - open to view this question.2023 (Evening Shift)Differentiation of composite functions
  24. 24If then the value of is equal to2023 (Evening Shift)Differentiation of composite functions
  25. 25If , then is2020Logarithmic differentiation
  26. 26If , then is2020Differentiation of implicit functions
  27. 27If , then is2020Higher order derivatives
  28. 28If , then is2020Logarithmic differentiation
  29. 29The derivative of w.r.t. is2019Derivative of f(x) wrt g(x)
  30. 30If , then2019Differentiation of composite functions
  31. 31If , then2019Higher order derivatives
  32. 32If , then2018Parametric differentiation
  33. 33Differentiate w.r.t. .2017Differentiation of Inverse Trigonometric Functions
  34. 34The derivative of w.r.t. is2016Derivative of f(x) wrt g(x)
  35. 35If , then2016Higher order derivatives
  36. 36If , then at is2015Functional Equation
  37. 37If for all and and , then is2015Functional Equation
  38. 38If , then at is2015Functional Equation
  39. 39If , then acceleration is2015Derivative of function and its inverse
  40. 40If , then2014Derivative of f(x) wrt g(x)
  41. 41If the distance ' metres traversed by a particle in seconds is given by , then the velocity of the particle when the acceleration is zero, i2013Derivative of f(x) wrt g(x)
  42. 42If , then is equal to2013Derivative of f(x) wrt g(x)
  43. 43The differential coefficient is with respect to where is2013Derivative of f(x) wrt g(x)
  44. 44Divide 20 into two parts such that the product of one part and the cube of the other is maximum. The two parts are2012Derivative of f(x) wrt g(x)
  45. 45If , then2012Derivative of f(x) wrt g(x)
  46. 46If , then2012Derivative of f(x) wrt g(x)
  47. 47If , then2012Logarithmic differentiation
  48. 48If , then2012Parametric differentiation

Frequently Asked Questions

1.How many questions are available for Differentiation?

This chapter includes 48 questions compiled from COMEDK papers spanning 2012 to 2026.

2.Are these questions only from COMEDK, or from other exams too?

These are COMEDK questions specifically for the Differentiation chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Differentiation an important chapter for COMEDK Mathematics?

Differentiation has appeared in 13 of the 15 years of COMEDK papers covered here, with 48 questions across 19 papers - about 3 per paper it appears in.

4.What is the difficulty level of Differentiation questions in COMEDK?

Of the 48 questions analysed for this chapter, 29% are easy, 67% moderate and 4% tough. 2025 had the most, with 9 questions.

5.Which topics in Differentiation should I focus on?

These topics have carried the most weightage in Differentiation:

  • Derivative of f(x) wrt g(x) - 10 questions (21%)
  • Differentiation of Inverse Trigonometric Functions - 8 questions (17%)
  • Higher order derivatives - 6 questions (13%)
  • Derivative of function and its inverse has produced the most tough questions (1).
6.Is Differentiation's weightage in COMEDK going up or down?

Across all 19 papers analysed, Differentiation has averaged about 2.5 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 2.4 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.