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Mathematics - Differentiation

Practise 20 BITSAT previous year questions on Differentiation, compiled from papers spanning 2011 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty BITSAT tests.

Differentiation has been asked in 9 of the 16 years of BITSAT papers analysed (2009–2024), with 20 questions in all. 40% of them were easy, 55% moderate and 5% tough. Most of its questions came from 2023, with 5 questions that year. In the last three years (2022–2024) it had 8 questions across 4 papers, about 2 per paper.

The chapter's 8 topics are not weighted equally: Differentiation of composite functions (6 questions, 30%), Functional Equation (4 questions, 20%), and Differentiation of implicit functions (3 questions, 15%) have been asked the most. Over the last five years the most frequent topics have been Differentiation of implicit functions (3), Derivative of f(x) wrt g(x) (2), and Differentiation of composite functions (2). Logarithmic differentiation has produced the most tough questions (1).

  1. 1At2024 (Memory Based Paper 2)Differentiation of implicit functions
  2. 2If , then2024 (Memory Based Paper 3)Functional Equation
  3. 3If , then is equal to2024 (Memory Based Paper 3)Differentiation of Inverse Trigonometric Functions
  4. 4The derivative of with respect to is2023 (Memory Based Paper 1)Differentiation of composite functions
  5. 5If , then at is :2023 (Memory Based Paper 1)Differentiation of composite functions
  6. 6The slope of the tangent to the curve , at is:2023 (Memory Based Paper 2)Derivative of f(x) wrt g(x)
  7. 7If , then is equal to2023 (Memory Based Paper 2)Logarithmic differentiation
  8. 8If , then the value of2023 (Memory Based Paper 2)Functional Equation
  9. 9Preview not available - open to view this question.2021Differentiation of implicit functions
  10. 10If and , then is equal to :2021Parametric differentiation
  11. 11is equal to2021Derivative of f(x) wrt g(x)
  12. 12If then find is2020Differentiation of implicit functions
  13. 13Let f ( x ) = x x , x Z , ( [ ] denotes greatest integer function), then f x is equal to2019Differentiation of composite functions
  14. 14If is the inverse of function and , then is equal to2015Differentiation of composite functions
  15. 15If then is equal to2013Differentiation of composite functions
  16. 16Let for all where If and then is equal to-2012Functional Equation
  17. 17If and then is2012Higher order derivatives
  18. 18The diagonal of a square is changing at the rate of . Then the rate of change of area, when the area is , is equal to2012Differentiation of composite functions
  19. 19For the function where is equal to2012Functional Equation
  20. 20If \(y=x^{x^2}\), then \( {d y}{d x}\) is equal to2011Logarithmic differentiation

Frequently Asked Questions

1.How many questions are available for Differentiation?

This chapter includes 20 questions compiled from BITSAT papers spanning 2011 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Differentiation has appeared in 9 of the 16 years of BITSAT papers covered here, with 20 questions across 11 papers - about 2 per paper it appears in.

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

Of the 20 questions analysed for this chapter, 40% are easy, 55% moderate and 5% tough. 2023 had the most, with 5 questions.

5.Which topics in Differentiation should I focus on?

These topics have carried the most weightage in Differentiation:

  • Differentiation of composite functions - 6 questions (30%)
  • Functional Equation - 4 questions (20%)
  • Differentiation of implicit functions - 3 questions (15%)
  • Logarithmic differentiation has produced the most tough questions (1).
6.Is Differentiation's weightage in BITSAT going up or down?

Across all 11 papers analysed, Differentiation has averaged about 1.8 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 2.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.