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Mathematics - Differentiation

Practise 335 MHTCET previous year questions on Differentiation, compiled from papers spanning 2007 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 MHTCET tests.

Differentiation has been asked in 17 of the 17 years of MHTCET papers analysed (2007–2026), with 335 questions in all. 27% of them were easy, 61% moderate and 11% tough. Most of its questions came from 2026, with 56 questions that year. In the last three years (2024–2026) it had 150 questions across 59 papers, about 2.5 per paper.

The chapter's 9 topics are not weighted equally: Differentiation of composite functions (68 questions, 20%), Differentiation of Inverse Trigonometric Functions (59 questions, 18%), and Differentiation of implicit functions (44 questions, 13%) have been asked the most. Differentiation of composite functions has also led over the last five years, with 51 questions. Differentiation of Inverse Trigonometric Functions has produced the most tough questions (11).

  1. 1The derivative of with respect to at , given that and is.....20 Apr, 2026 (M)Differentiation of composite functions
  2. 2If for such that , then the function is...20 Apr, 2026 (M)Logarithmic differentiation
  3. 3If and , then the value of is20 Apr, 2026 (M)Differentiation of implicit functions
  4. 4If and , then the value of at is equal to20 Apr, 2026 (E)Parametric differentiation
  5. 5If and is constant then the value of is20 Apr, 2026 (E)Parametric differentiation
  6. 6If , then20 Apr, 2026 (E)Differentiation of implicit functions
  7. 7If then ........20 Apr, 2026 (E)Differentiation of Inverse Trigonometric Functions
  8. 8If be twice differentiable functions, satisfying and then at is equal to20 Apr, 2026 (E)Higher order derivatives
  9. 9The derivative of with respect to is19 Apr, 2026 (M)Derivative of f(x) wrt g(x)
  10. 10If , then the value of is19 Apr, 2026 (M)Differentiation of Inverse Trigonometric Functions
  11. 11Let , where and . If at , , then the value of is...19 Apr, 2026 (M)Parametric differentiation
  12. 12If then ..19 Apr, 2026 (M)Differentiation of composite functions
  13. 13If , then the value of at is...19 Apr, 2026 (E)Differentiation of implicit functions
  14. 14If and are inverse functions of each other and , then ...19 Apr, 2026 (E)Derivative of function and its inverse
  15. 15If , then is...19 Apr, 2026 (E)Differentiation of Inverse Trigonometric Functions
  16. 16If and such that , then the value of k is...19 Apr, 2026 (E)Differentiation of implicit functions
  17. 17If such that and then18 Apr, 2026 (M)Differentiation of composite functions
  18. 18If , then the value of at is equal to18 Apr, 2026 (M)Differentiation of implicit functions
  19. 19If is an even function then18 Apr, 2026 (E)Functional Equation
  20. 20If and , then at is18 Apr, 2026 (E)Differentiation of composite functions
  21. 21Let . If when , then the value of is equal to18 Apr, 2026 (E)Differentiation of implicit functions
  22. 22If , where is constant of integration, then18 Apr, 2026 (E)Differentiation of composite functions
  23. 23The derivative of the function is positive for17 Apr, 2026 (M)Differentiation of composite functions
  24. 24If , then is equal to17 Apr, 2026 (M)Differentiation of composite functions
  25. 25If , where and at is , then the value of is17 Apr, 2026 (M)Logarithmic differentiation
  26. 26If , then the value of when is17 Apr, 2026 (M)Differentiation of composite functions
  27. 27If and , then , is17 Apr, 2026 (E)Differentiation of Inverse Trigonometric Functions
  28. 28If and then,17 Apr, 2026 (E)Differentiation of composite functions
  29. 29The derivative of with respect to at is17 Apr, 2026 (E)Derivative of f(x) wrt g(x)
  30. 30If , then the value of is..17 Apr, 2026 (E)Higher order derivatives
  31. 31If , then17 Apr, 2026 (E)Differentiation of composite functions
  32. 32If , then16 Apr, 2026 (M)Differentiation of implicit functions
  33. 33The derivative of w. r. t. is16 Apr, 2026 (M)Differentiation of composite functions
  34. 34If , then at is16 Apr, 2026 (E)Differentiation of Inverse Trigonometric Functions
  35. 35If and , then16 Apr, 2026 (E)Derivative of f(x) wrt g(x)
  36. 36Let f(x) be a twice differentiable function such that , and . If , then is equal to ...16 Apr, 2026 (E)Differentiation of composite functions
  37. 37Let and . Then the value of is equal to...15 Apr, 2026 (M)Derivative of function and its inverse
  38. 38If , then is equal to15 Apr, 2026 (M)Higher order derivatives
  39. 39If , where , then15 Apr, 2026 (M)Differentiation of Inverse Trigonometric Functions
  40. 40If , then the value of at is15 Apr, 2026 (M)Differentiation of composite functions
  41. 41If , then the ordered pair at is equal to15 Apr, 2026 (E)Differentiation of implicit functions
  42. 42The derivative of is15 Apr, 2026 (E)Differentiation of composite functions
  43. 43Let . If and , then .....13 Apr, 2026 (M)Differentiation of composite functions
  44. 44If , then is equal to13 Apr, 2026 (M)Derivative of function and its inverse
  45. 45If such that , then ____13 Apr, 2026 (E)Differentiation of implicit functions
  46. 46If , then13 Apr, 2026 (E)Differentiation of composite functions
  47. 47...13 Apr, 2026 (E)Differentiation of Inverse Trigonometric Functions
  48. 48If , then the value of at is11 Apr, 2026 (M)Differentiation of composite functions
  49. 49If , then the value of is11 Apr, 2026 (M)Differentiation of composite functions
  50. 50If , then at is11 Apr, 2026 (M)Differentiation of implicit functions

Frequently Asked Questions

1.How many questions are available for Differentiation?

This chapter includes 335 questions compiled from MHTCET papers spanning 2007 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Differentiation has appeared in 17 of the 17 years of MHTCET papers covered here, with 335 questions across 107 papers - about 3 per paper it appears in.

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

Of the 335 questions analysed for this chapter, 27% are easy, 61% moderate and 11% tough. 2026 had the most, with 56 questions.

5.Which topics in Differentiation should I focus on?

These topics have carried the most weightage in Differentiation:

  • Differentiation of composite functions - 68 questions (20%)
  • Differentiation of Inverse Trigonometric Functions - 59 questions (18%)
  • Differentiation of implicit functions - 44 questions (13%)
  • Differentiation of Inverse Trigonometric Functions has produced the most tough questions (11).
6.Is Differentiation's weightage in MHTCET going up or down?

Across all 107 papers analysed, Differentiation has averaged about 3.1 questions per paper. In the last three years (2024–2026), that average has fallen, at about 2.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.