Let be a twice differentiable |Continuity Differentiability

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JEE MAIN 2020

04-09-2020 S1

Question

Let $f$ be a twice differentiable function on $(1,6)$. If $f(2)=8, f^{\prime}(2)=5, f^{\prime}(x) \geq 1$ and $f^{\prime \prime}(x) \geq 4$, for all $x \in (1,6)$, then :

Select the correct option:

A

$f(5)+f^{\prime}(5) \geq 28$

B

$\mathrm{f}^{\prime}(5)+\mathrm{f}^{\prime \prime}(5) \leq 20$

C

$f(5) \leq 10$ $

D

$f(5)+f^{\prime}(5) \leq 26$

✓ Correct! Well done.

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