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Mathematics - Application of Derivatives

Practise 9 IAT (IISER) previous year questions on Application of Derivatives, compiled from papers spanning 2017 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 IAT (IISER) tests.

Application of Derivatives has been asked in 6 of the 9 years of IAT (IISER) papers analysed (2017–2026), with 9 questions in all. 0% of them were easy, 100% moderate and 0% tough. Most of its questions came from 2022, with 3 questions that year. In the last three years (2023–2026) it had 2 questions across 3 papers, about 0.7 per paper.

The chapter's 2 topics are not weighted equally: Maxima Minima (5 questions, 56%) and Monotonicity (4 questions, 44%) have been asked the most. Maxima Minima has also led over the last five years, with 3 questions.

  1. 1Let be the function given by . Which one of the following statements is TRUE?2025Monotonicity
  2. 2What is the largest area of a rectangle, whose sides are parallel to the coordinate axes, that can be inscribed under the graph of the curve2024Maxima Minima
  3. 3Let . Which of the following statements is true?2023Monotonicity
  4. 4Let be a polynomial. Suppose that Then2022Maxima Minima
  5. 5Let be a nonzero real number and be a continuous function such that for all . Consider . Then has2022Maxima Minima
  6. 6The function given by is2022Monotonicity
  7. 7What is the maximum value of , when ?2021Maxima Minima
  8. 8For a real number \(a\), let \( ^{-1}(a)\) denote the real number \( ,- { }{2} { }{2}\); such that \( ( )=a\). The function \(f(x)= ^{-1} (b2018Monotonicity
  9. 9The function in the interval has a2017Maxima Minima

Frequently Asked Questions

1.How many questions are available for Application of Derivatives?

This chapter includes 9 questions compiled from IAT (IISER) papers spanning 2017 to 2025.

2.Are these questions only from IAT (IISER), or from other exams too?

These are IAT (IISER) questions specifically for the Application of Derivatives chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Application of Derivatives an important chapter for IAT (IISER) Mathematics?

Application of Derivatives has appeared in 7 of the 10 years of IAT (IISER) papers covered here, with 9 questions across 7 papers - about one per paper it appears in.

4.What is the difficulty level of Application of Derivatives questions in IAT (IISER)?

Of the 9 questions analysed for this chapter, 0% are easy, 100% moderate and 0% tough. 2022 had the most, with 3 questions.

5.Which topics in Application of Derivatives should I focus on?

These topics have carried the most weightage in Application of Derivatives:

  • Maxima Minima - 5 questions (56%)
  • Monotonicity - 4 questions (44%)
6.Is Application of Derivatives's weightage in IAT (IISER) going up or down?

Across all 7 papers analysed, Application of Derivatives has averaged about 1.3 questions per paper. In the last three years (2023–2026), that average has fallen, at about 0.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.