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Friday, 9 October

JEE Main Maths · Continuity and Differentiability

Differentiability via Functional Equations

Differentiability via Functional Equations (Continuity and Differentiability) was asked 3 times in 3 JEE Main shifts, 2024–2026, out of the 42 shifts Lumi analysed.

Times asked
3
in 3 shifts
Years
2024–2026
Usual format
Single correct
Multi-step
Pattern
New since 2024
repeats across shifts

How it is asked

  • Minimum value after solving functional equation
  • Derivative value from functional equation

Difficulty

Easy 0Medium 2Hard 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 3 questions

Newest first, each with its options and official answer.

  1. 5 Apr 2026, Shift 1 · Q19Let f:R→Rf: \mathbb{R} \to \mathbb{R} be a differentiable function such that f(x+y3)=f(x)+f(y)3f\left(\frac{x+y}{3}\right) = \frac{f(x)+f(y)}{3} for all…MediumSingle correct
  2. 2 Apr 2025, Shift 1 · Q14Let f:R→Rf:\mathbf{R}\to\mathbf{R} be a twice differentiable function such that…HardSingle correct
  3. 30 Jan 2024, Shift 2 · Q7Let f:R−{0}→Rf: \mathbb{R} - \{0\} \to \mathbb{R} be a function satisfying f(xy)=f(x)f(y)f\left(\frac{x}{y}\right) = \frac{f(x)}{f(y)} for all…MediumSingle correct