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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = cases x^2 2 & 0 x < 1 2x^2 - 3x + 3 2 & 1 x 2 cases , then in [0, 2] :

Options

  1. Af(x), f'(x) are continuous
  2. Bf'(x) is continuous, f''(x) is not continuous
  3. Cf''(x) is continuous
  4. Df''(x) is non differentiable

Correct answer

A. f(x), f'(x) are continuous

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