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Friday, 9 October

JEE Main Maths · Continuity and Differentiability

Differentiability of Modulus Functions

Differentiability of Modulus Functions (Continuity and Differentiability) was asked 2 times in 2 JEE Main shifts, 2024–2026, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2024–2026
Usual format
Numerical value
Application
Pattern
New since 2024
repeats across shifts

How it is asked

  • Count non-differentiable points of modulus function
  • Count points of non-differentiability of composite modulus function

Difficulty

Easy 0Medium 2Hard 0

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 2 · Q22Let f(x)={ex−1,x<0x2−5x+6,x≥0f(x)=\begin{cases}e^{x-1}, & x<0\\ x^2-5x+6, & x\ge0\end{cases} and g(x)=f(∣x∣)+∣f(x)∣g(x)=f(|x|)+|f(x)|. If the number of points where gg is not…MediumNumerical value
  2. 31 Jan 2024, Shift 2 · Q8Consider the function f:(0,∞)→Rf:(0,\infty)\to\mathbb{R} defined by f(x)=e−∣log⁡ex∣f(x)=e^{-|\log_e x|}. If mm and nn be respectively the number of points…MediumSingle correct