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Mathematics - Differentiation

Practise 261 AP EAMCET previous year questions on Differentiation, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty AP EAMCET tests.

Differentiation has been asked in 24 of the 24 years of AP EAMCET papers analysed (2001–2024), with 261 questions in all. 34% of them were easy, 50% moderate and 16% tough. Most of its questions came from 2021, with 37 questions that year. In the last three years (2022–2024) it had 54 questions across 28 papers, about 1.9 per paper.

The chapter's 12 topics are not weighted equally: Differentiation of Inverse Trigonometric Functions (50 questions, 19%), Higher order derivatives (38 questions, 15%), and Differentiation of composite functions (37 questions, 14%) have been asked the most. Over the last five years the most frequent topics have been Differentiation of composite functions (19), Differentiation of Inverse Trigonometric Functions (18), and Functional Equation (17). Differentiation of Inverse Trigonometric Functions has produced the most tough questions (9).

  1. 1The domain of the derivative of the function is27 May, 2025 (M)Differentiation of composite functions
  2. 2If and then27 May, 2025 (M)Differentiation of Inverse Trigonometric Functions
  3. 3If where , then at ,27 May, 2025 (M)Differentiation
  4. 4If , then26 May, 2025 (M)Differentiation of implicit functions
  5. 5If , then26 May, 2025 (M)Logarithmic differentiation
  6. 6If , then26 May, 2025 (E)Differentiation of composite functions
  7. 7If , then24 May, 2025 (M)Differentiation of composite functions
  8. 8If , then the value of at is24 May, 2025 (M)Differentiation
  9. 9If , then at is23 May, 2025 (M)Differentiation of composite functions
  10. 10If and , then23 May, 2025 (M)Parametric differentiation
  11. 11If , then23 May, 2025 (E)Differentiation of composite functions
  12. 12If , at23 May, 2025 (E)Differentiation of composite functions
  13. 13If and , then22 May, 2025 (M)Parametric differentiation
  14. 14If , then22 May, 2025 (M)Differentiation of composite functions
  15. 15If g is the inverse of the function and then,22 May, 2025 (E)Derivative of function and its inverse
  16. 16If , then22 May, 2025 (E)Differentiation
  17. 17The derivative of with respect to at is21 May, 2025 (M)Differentiation
  18. 18If and , then at is equal to21 May, 2025 (M)Differentiation of implicit functions
  19. 19If and , then21 May, 2025 (E)Differentiation of implicit functions
  20. 20If , then21 May, 2025 (E)Differentiation
  21. 21If then23 May, 2024 (M)Differentiation of Inverse Trigonometric Functions
  22. 22If , then23 May, 2024 (M)Functional Equation
  23. 23If then the value of at the point is22 May, 2024 (M)Higher order derivatives
  24. 24If , then the derivative of at is22 May, 2024 (M)Differentiation of composite functions
  25. 25If , then22 May, 2024 (E)Differentiation of Inverse Trigonometric Functions
  26. 26If and , then the derivative of with respect to is22 May, 2024 (E)Derivative of f(x) wrt g(x)
  27. 27If and , then22 May, 2024 (E)Higher order derivatives
  28. 28The rate of change of with respect to is21 May, 2024 (M)Differentiation of implicit functions
  29. 29If , then21 May, 2024 (M)Higher order derivatives
  30. 30Which one of the following is false?21 May, 2024 (M)Differentiation of Inverse Trigonometric Functions
  31. 31If then21 May, 2024 (E)Functional Equation
  32. 32If then21 May, 2024 (E)Differentiation of composite functions
  33. 33If then21 May, 2024 (E)Higher order derivatives
  34. 34The distance (s) travelled by a particle in time is given by . The velocity of the particle when seconds is21 May, 2024 (E)Functional Equation
  35. 35If , then20 May, 2024 (M)Logarithmic differentiation
  36. 36For20 May, 2024 (M)Logarithmic differentiation
  37. 37If and then at is20 May, 2024 (E)Differentiation of composite functions
  38. 38If is a thrice differentiable function and a bijection then that19 May, 2024 (E)Functional Equation
  39. 39If then18 May, 2024 (M)Differentiation of Inverse Trigonometric Functions
  40. 40If and then18 May, 2024 (M)Parametric differentiation
  41. 41At19 May, 2023 (M)Differentiation of composite functions
  42. 42If is differentiable on , and , then19 May, 2023 (M)Functional Equation
  43. 43If , then at the value of is18 May, 2023 (M)Higher order derivatives
  44. 44The curve represented by and is decreasing in the interval18 May, 2023 (M)Parametric differentiation
  45. 45and are differentiable functions such that a non zero constant. If and , then18 May, 2023 (E)Derivative of f(x) wrt g(x)
  46. 46If is a function such that and , then18 May, 2023 (E)Differentiation of implicit functions
  47. 47If , then17 May, 2023 (E)Functional Equation
  48. 48If , then16 May, 2023 (E)Differentiation of Inverse Trigonometric Functions
  49. 49If and , then16 May, 2023 (E)Parametric differentiation
  50. 50If is a differentiable function, , and , then a possible value of15 May, 2023 (M)Logarithmic differentiation

Frequently Asked Questions

1.How many questions are available for Differentiation?

This chapter includes 261 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP EAMCET 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 AP EAMCET Mathematics?

Differentiation has appeared in 25 of the 25 years of AP EAMCET papers covered here, with 261 questions across 91 papers - about 3 per paper it appears in.

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

Of the 261 questions analysed for this chapter, 34% are easy, 50% moderate and 16% tough. 2021 had the most, with 37 questions.

5.Which topics in Differentiation should I focus on?

These topics have carried the most weightage in Differentiation:

  • Differentiation of Inverse Trigonometric Functions - 50 questions (19%)
  • Higher order derivatives - 38 questions (15%)
  • Differentiation of composite functions - 37 questions (14%)
  • Differentiation of Inverse Trigonometric Functions has produced the most tough questions (9).
6.Is Differentiation's weightage in AP EAMCET going up or down?

Across all 91 papers analysed, Differentiation has averaged about 2.9 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.9 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.