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JEE Main 2021 — Mathematics Calculus

easy
mcq
2021
Official previous-year question

Verified 30 May 2026.

Question

If f(x) = |x - 2|, then f(x) is not differentiable at x =:

Options

  1. A0
  2. B1
  3. C2
  4. D3

Solution

The function |x - 2| has a corner (sharp point) at x = 2, so it is not differentiable at x = 2.

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