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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = cases x + 1 & ; x < 0 |x - 1| & ; x 0 cases and g(x) = cases x + 1 & ; x < 0 (x - 1)^2 & ; x 0 cases then the number of points where g(f(x)) is not differentiable.

Options

  1. A0
  2. B1
  3. C2
  4. DNone of these

Correct answer

C. 2

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