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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Identify the options having correct statement :

Options

  1. Af(x) = [3] x^2 |x| - 1 - |x| is no where non-differentiable
  2. B_ x ((x + 5) ⁻¹(x + 1) - (x + 1) ⁻¹(x + 1)) = 2
  3. Cf(x) = ( (x + x^2 + 1 )) is an odd function
  4. Df(x) = 4 - x^2 4x - x^3 is discontinuous at exactly one point

Correct answer

A. f(x) = [3] x^2 |x| - 1 - |x| is no where non-differentiable

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