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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If y = f(x) is differentiable x R , then

Options

  1. Ay = |f(x)| is differentiable x R
  2. By = f^2(x) is non-differentiable for atleast one x
  3. Cy = f(x)|f(x)| is non-differentiable for atleast one x
  4. Dy = |f(x)|^3 is differentiable x R

Correct answer

D. y = |f(x)|^3 is differentiable x R

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