Continuity and Differentiability – JEE Main Previous Year Questions (2014–2025)

All 15 JEE Main previous-year questions from Continuity and Differentiability (Maths), 2014–2025, taken from 8 papers. Practise them together in one test with the official marking and answer key, then review every answer.

▶ Practise all 15 questionsAll JEE Main chapters

Continuity and Differentiability questions by paper

Sample questions

• JEE Main 2025 (Apr) Maths bank
  Let be a twice-differentiable function such that for all If 0 12 then the value of 24 5 3 is
• JEE Main 2025 (Apr) Maths bank
  Let and be the number of points at which the function 3 5 21 is not differentiable and not continuous respectively Then is equal to
• JEE Main 2025 (Apr) Maths bank
  The number of points of discontinuity of the function 2 2 0 4 where denotes the greatest integer function is
• JEE Main 2025 (Jan) Maths bank
  Let the function 2 1 2 be not differentiable at the two points 2 and Then the distance of the point from the line 10 0 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
• Limits and Derivatives 22
• Mathematical Reasoning 6
• Statistics 13
• Probability 29
• Inverse Trigonometric Functions 15
• Matrices 15
• Determinants 29
• Application of Derivatives 26
• Integrals 40
• Application of Integrals 27
• Differential Equations 27
• Vector Algebra 28