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Friday, 9 October

JEE Main Maths · Continuity and Differentiability

Differentiability of Max/Min Functions

Differentiability of Max/Min Functions (Continuity and Differentiability) was asked 2 times in 2 JEE Main shifts, 2020–2026, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2020–2026
Usual format
Numerical value
Application
Pattern
Occasional
repeats across shifts

How it is asked

  • Count non-differentiable points of composite function
  • Non-differentiable points of max of two functions

Difficulty

Easy 1Medium 0Hard 1

Where it sits

Chapter: Continuity and Differentiability. Topic: Continuity and Differentiability, 33 questions over 14 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 4 Apr 2026, Shift 1 · Q25The number of points, at which the function f(x)=max⁡{6x, 2+3x2}+∣x−1∣cos⁡∣x2−14∣f(x)=\max\{6x,\ 2+3x^2\}+|x-1|\cos\left|x^2-\frac14\right|, x∈(−π,π)x\in(-\pi,\pi), is not…HardNumerical value
  2. 6 Sep 2020, Shift 2 · Q58Let f:R→Rf:\mathbf{R}\to\mathbf{R} be a function defined by f(x)=max⁡{x,x2}f(x)=\max\{x,x^2\}. Let S denote the set of all points in R\mathbf{R}, where…EasySingle correct