Question:medium

The function \(f(x)=|x|+|x-1|\) is:

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Whenever modulus functions appear, first identify where the expressions inside modulus become zero. These points are candidates for non-differentiability.
Updated On: May 16, 2026
  • Differentiable at \(x=0\) but not at \(x=1\)
  • Neither differentiable at \(x=0\) nor at \(x=1\)
  • Differentiable at \(x=1\) but not at \(x=0\)
  • Differentiable at \(x=0\) and \(x=1\)
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The Correct Option is B

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