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Mathematics - Differentiation

Practise 29 Manipal (MET) previous year questions on Differentiation, compiled from papers spanning 2010 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 Manipal (MET) tests.

Differentiation has been asked in 13 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 29 questions in all. 45% of them were easy, 41% moderate and 14% tough. Most of its questions came from 2010, with 6 questions that year. In the last three years (2022–2024) it had 1 question across 1 paper, about 1 per paper.

The chapter's 10 topics are not weighted equally: Differentiation of composite functions (5 questions, 17%), Differentiation of implicit functions (5 questions, 17%), and Higher order derivatives (5 questions, 17%) have been asked the most. Over the last five years the most frequent topics have been Differentiation of determinants (1), Differentiation of implicit functions (1), and Functional Equation (1). Derivative of f(x) wrt g(x) has produced the most tough questions (1).

  1. 1A real valued differentiable function satisfies . Given , then value of will be2024Functional Equation
  2. 2If , then is2021Differentiation of implicit functions
  3. 3Let Then, the value of at (the set of integers) is equal to2020Differentiation of determinants
  4. 4The derivative of at the point is2019Differentiation of implicit functions
  5. 5Derivative of the function is2019Logarithmic differentiation
  6. 6If and , then is equal to2019Parametric differentiation
  7. 7If , for all and , then is equal to2019Differentiation of composite functions
  8. 8Derivative of is2018Logarithmic differentiation
  9. 9If is equal to2018Differentiation of composite functions
  10. 10If , then is equal to2018Differentiation of composite functions
  11. 11If and then , is equal to2017Derivative of f(x) wrt g(x)
  12. 12The derivative of with respect to is2016Derivative of f(x) wrt g(x)
  13. 13The functions and satisfy the equation2015Differentiation of implicit functions
  14. 14The derivative of with respect to at , is2015Differentiation of Inverse Trigonometric Functions
  15. 15If , then is equal to2015Differentiation of implicit functions
  16. 16If , then the value of at is2014Logarithmic differentiation
  17. 17If , then is equal to2014Differentiation of implicit functions
  18. 18If , then is equal to2013Derivative of function and its inverse
  19. 19If , then equals2013Higher order derivatives
  20. 20Let be twice differentiable function satisfying , then2012Higher order derivatives
  21. 21The motion of a particle along a straight line is described by the function , where is in metre and is in second. Then, the velocity of the 2012Functional Equation
  22. 22If , then2011Higher order derivatives
  23. 23If , then is equal to2011Differentiation of composite functions
  24. 24If , then at is2010Differentiation of composite functions
  25. 25If , then is equal to2010Logarithmic differentiation
  26. 26If , then is equal to2010Differentiation of Inverse Trigonometric Functions
  27. 27If , then the values of and such that for all , are2010Functional Equation
  28. 28If a particle is moving such that the velocity aćquired is proportional to the square root of - the distance covered, then its acceleration 2010Higher order derivatives
  29. 29If , then is equal to2010Higher order derivatives

Frequently Asked Questions

1.How many questions are available for Differentiation?

This chapter includes 29 questions compiled from Manipal (MET) papers spanning 2010 to 2024.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Differentiation has appeared in 13 of the 15 years of Manipal (MET) papers covered here, with 29 questions across 13 papers - about 2 per paper it appears in.

4.What is the difficulty level of Differentiation questions in Manipal (MET)?

Of the 29 questions analysed for this chapter, 45% are easy, 41% moderate and 14% tough. 2010 had the most, with 6 questions.

5.Which topics in Differentiation should I focus on?

These topics have carried the most weightage in Differentiation:

  • Differentiation of composite functions - 5 questions (17%)
  • Differentiation of implicit functions - 5 questions (17%)
  • Higher order derivatives - 5 questions (17%)
  • Derivative of f(x) wrt g(x) has produced the most tough questions (1).
6.Is Differentiation's weightage in Manipal (MET) going up or down?

Across all 13 papers analysed, Differentiation has averaged about 2.2 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.