JEE Main 20206 Sep, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002For all twice differentiable functions f : R →\to→ R, with f(0) = f(1) = f'(0) = 0AOption A. f''(x) ≠\ne= 0, at every point x ∈\in∈ (0, 1)BOption B. f''(x) = 0, for some x ∈\in∈ (0, 1)COption C. f''(0) = 0DOption D. f''(x) = 0, at every point x ∈\in∈ (0, 1)CheckSkip · show solution