For all twice | MAXIMA AND MINIMA

JEE MAIN 2020

06-09-2020 S2

Question

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

Select the correct option:

$f^{\prime \prime}(0)=0$

$f^{\prime \prime}(x)=0$, for some $x \in(0,1)$

$f^{\prime \prime}(x)=0$, at every point $x \in(0,1)$

$f^{\prime \prime}(x) \neq 0$, at every point $x \in(0,1)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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