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JEE Math Practice Question

For all twice differentiable functions f : R $$ \to $$ R, with f(0) = f(1) = f'(0) = 0

  1. A.f''(x) $$ \ne $$ 0, at every point x $$ \in $$ (0, 1)
  2. B.f''(x) = 0, for some x $$ \in $$ (0, 1)
  3. C.f''(0) = 0
  4. D.f''(x) = 0, at every point x $$ \in $$ (0, 1)

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