Question

Let f(x) = |sin x| Then

Options :

  1. f is everywhere differentiable

  2. f is everywhere continuous but not differentiable at x = nπ, n ∈ Z

  3. f is everywhere continuous but no differentiable at x = (2n + 1) π/2 n ∈ Z

  4. None of these

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Answer :

f is everywhere continuous but not differentiable at x = nπ, n ∈ Z

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