Monotonicity_JEE-Main-2021_310821_S1 - Competishun – Live JEE & NEET Courses and Exam Prep

JEE Main 2021

31-08-2021 S1

Question

Let $f$ be any continuous function on $[0,2]$ and twice differentiable on $(0,2)$. If $f(0)=0, f(1)=1$ and $f(2)=2$, then

Select the correct option:

$f^{\prime \prime}(x)=0$ for all $x \in(0,2)$

$f^{\prime \prime}(x)=0$ for some $x \in(0,2)$

$f^{\prime}(x)=0$ for some $x \in[0,2]$

$\mathrm{f}^{\prime \prime}(\mathrm{x})>0$ for all $\mathrm{x} \in(0,2)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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