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NEST2022MathematicsContinuity and Differentiability

Let f: R R be a function satisfying |f(x)-f(y)| |x-y|^ 3 2 for all x, y R .

Options

  1. A|f(x)| |x|^ 3 2 for all x R .
  2. Bthere exists M R such that |f(x)| M for all x R .
  3. Cf is differentiable everywhere.
  4. Df(1) f(0)

Correct answer

C. f is differentiable everywhere.

Step-by-step solution

No solution available.

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