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Mathematics - Differentiation

Practise 13 VITEEE previous year questions on Differentiation, compiled from papers spanning 2007 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 VITEEE tests.

Differentiation has been asked in 10 of the 18 years of VITEEE papers analysed (2006–2024), with 13 questions in all. 23% of them were easy, 54% moderate and 23% tough. Most of its questions came from 2019, with 2 questions that year. In the last three years (2022–2024) it had 3 questions across 3 papers, about 1 per paper.

The chapter's 5 topics are not weighted equally: Differentiation of implicit functions (5 questions, 38%), Parametric differentiation (3 questions, 23%), and Differentiation of Inverse Trigonometric Functions (2 questions, 15%) have been asked the most. Over the last five years the most frequent topics have been Differentiation of Inverse Trigonometric Functions (1), Logarithmic differentiation (1), and Parametric differentiation (1). Differentiation of implicit functions has produced the most tough questions (3).

  1. 1If , then equals2024Logarithmic differentiation
  2. 2The coordinates of a moving particle at time \(t\) are given by \(x=c t^2\) and \(y=b t^2\). The speed of the particle is given by2023Parametric differentiation
  3. 3If \(y= ^{-1}[ {x-a x}- {a-a x}]\) then \( {d y}{d x}=\)2022Differentiation of Inverse Trigonometric Functions
  4. 4If , then2019Differentiation of Inverse Trigonometric Functions
  5. 5If , then is equal to :2019Differentiation of implicit functions
  6. 6The distance moved by the particle in time is given by . At the instant, when its acceleration is zero the velocity is:2016Differentiation of composite functions
  7. 7If then at is2016Logarithmic differentiation
  8. 8The equation of normal to the curve at is2014Differentiation of implicit functions
  9. 9The condition that the line may be normal to the curve , is2010Differentiation of implicit functions
  10. 10, is equal to2009Parametric differentiation
  11. 11Area enclosed by the curve is2008Differentiation of implicit functions
  12. 12A random variable X follows binomial distribution with mean and variance . Then2008Differentiation of implicit functions
  13. 13If is a group and the order of an element is 10 , then the order of the inverse of * a is2007Parametric differentiation

Frequently Asked Questions

1.How many questions are available for Differentiation?

This chapter includes 13 questions compiled from VITEEE papers spanning 2007 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Differentiation has appeared in 10 of the 18 years of VITEEE papers covered here, with 13 questions across 10 papers - about one per paper it appears in.

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

Of the 13 questions analysed for this chapter, 23% are easy, 54% moderate and 23% tough. 2019 had the most, with 2 questions.

5.Which topics in Differentiation should I focus on?

These topics have carried the most weightage in Differentiation:

  • Differentiation of implicit functions - 5 questions (38%)
  • Parametric differentiation - 3 questions (23%)
  • Differentiation of Inverse Trigonometric Functions - 2 questions (15%)
  • Differentiation of implicit functions has produced the most tough questions (3).
6.Is Differentiation's weightage in VITEEE going up or down?

Across all 10 papers analysed, Differentiation has averaged about 1.3 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.