Mathematics · 2020
JEE Main · 6 September 2020, Shift 2 · Q57
For all twice differentiable functions f: R → R, with f(0)=f(1)=f^′(0)=0,
For all twice differentiable functions $\displaystyle f: \mathbf{R} \rightarrow \mathbf{R}$, with $\displaystyle f(0)=f(1)=f^{\prime}(0)=0$,
Official answer
(3)
$\displaystyle f^{\prime \prime}(x)=0$, for some $\displaystyle x \in(0,1)$
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