Limits and Derivatives – JEE Main Previous Year Questions (2014–2025)

All 22 JEE Main previous-year questions from Limits and Derivatives (Maths), 2014–2025, taken from 9 papers. Practise them together in one test with the official marking and answer key, then review every answer.

▶ Practise all 22 questionsAll JEE Main chapters

Limits and Derivatives questions by paper

Sample questions

• JEE Main 2025 (Apr) Maths bank
  Let be a continuous function satisfying 0 1 and for all If 2 then 1 10 2 is equal to
• JEE Main 2025 (Apr) Maths bank
  For 1 let and be the roots of the equation 2 1 7 1 2 2 1 6 1 2 1 21 1 0 If 1 a and 1 then 72 a 2 is equal to
• JEE Main 2025 (Apr) Maths bank
  Given below are two statements Statement 0 1 1 1 5 2 5 Statement II 1 2 1 1 2 In the light of the above statements choose the correct answer from the options given below
• JEE Main 2025 (Jan) Maths bank
  Let be the greatest integer less than or equal to Then the least value of for which 0 1 2 2 1 2 2 2 2 2 2 1 is equal to

Question text shown from the scanned paper; open the test to see each question exactly as printed.

More Maths chapters

• Sets 6
• Relations and Functions 38
• Trigonometric Functions 21
• Complex Numbers and Quadratic Equations 49
• Permutations and Combinations 31
• Binomial Theorem 29
• Sequences and Series 38
• Straight Lines 27
• Conic Sections 75
• Three Dimensional Geometry 47
• Mathematical Reasoning 6
• Statistics 13
• Probability 29
• Inverse Trigonometric Functions 15
• Matrices 15
• Determinants 29
• Continuity and Differentiability 15
• Application of Derivatives 26
• Integrals 40
• Application of Integrals 27
• Differential Equations 27
• Vector Algebra 28