Mathematics - Differentiation
Practise 3 NEST (NISER) previous year questions on Differentiation, compiled from papers spanning 2018 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 NEST (NISER) tests.
Differentiation has been asked in 3 of the 16 years of NEST (NISER) papers analysed (2011–2026), with 3 questions in all. 33% of them were easy, 67% moderate and 0% tough. Most of its questions came from 2026, with 1 question that year. In the last three years (2024–2026) it had 2 questions across 4 papers, about 0.5 per paper.
The chapter's 3 topics are not weighted equally: Functional Equation (1 question, 33%), Differentiation of implicit functions (1 question, 33%), and Derivative of function and its inverse (1 question, 33%) have been asked the most. Over the last five years the most frequent topics have been Differentiation of implicit functions (1) and Derivative of function and its inverse (1).
- 1Let be a function defined by and let be the inverse of . If where and are positive coprime integers, then the value of is2026Derivative of function and its inverse
- 2Let be a non-zero differentiable function such that . Then2024 (Session 2)Differentiation of implicit functions
- 3Let be such that and . Let . If then is2018Functional Equation
Frequently Asked Questions
1.How many questions are available for Differentiation?
This chapter includes 3 questions compiled from NEST (NISER) papers spanning 2018 to 2026.
2.Are these questions only from NEST (NISER), or from other exams too?
These are NEST (NISER) 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 NEST (NISER) Mathematics?
Differentiation has appeared in 3 of the 16 years of NEST (NISER) papers covered here, with 3 questions across 3 papers - about one per paper it appears in.
4.What is the difficulty level of Differentiation questions in NEST (NISER)?
Of the 3 questions analysed for this chapter, 33% are easy, 67% moderate and 0% tough. 2026 had the most, with 1 question.
5.Which topics in Differentiation should I focus on?
These topics have carried the most weightage in Differentiation:
- Functional Equation - 1 question (33%)
- Differentiation of implicit functions - 1 question (33%)
- Derivative of function and its inverse - 1 question (33%)
6.Is Differentiation's weightage in NEST (NISER) going up or down?
Across all 3 papers analysed, Differentiation has averaged about 1.0 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.