JEE Main 2020 Mathematics question

Mathematics Application of Derivatives JEE Main 2020

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

(A)f''(x) = 0, for some x ∈ (0, 1)Correct
(B)f''(0) = 0
(C)f''(x) ≠ 0 at every point x ∈ (0, 1)
(D)f''(x) = 0 at every point x ∈ (0, 1)

Answer: (A)

Solution

Question ID VK-012904