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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = cases x 1 + |x| & , |x| 1 x 1 - |x| & , |x| < 1 cases , then domain of f'(x) is :

Options

  1. A(- , )
  2. B(- , ) - -1, 0, 1
  3. C(- , ) - -1, 1
  4. D(- , ) - 0

Correct answer

C. (- , ) - -1, 1

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