JEE Main 2023 — Application Of Derivatives Question with Solution
From: JEE Main 2023 (Online) 11th April Morning Shift
Question
Let be a differentiable function such that with and .
Consider the following two statements :
(A) : , for all
(B) : , for all
Then,
Choose an option
Show full solutionCorrect option: D
Correct answer
DBoth the statements and (B) are true
Step-by-step explanation
Given,
Let
As $g(x) \geq 0, \forall x \in[2,4], g(x)[2,4]$
As, is an increasing function,
Now,
Hence, both statements and are true.
Note : LMVT on not satisfied.
Hence no such function exists.
Therefore it should be bonus.
Let
As $g(x) \geq 0, \forall x \in[2,4], g(x)[2,4]$
As, is an increasing function,
Now,
Hence, both statements and are true.
Note : LMVT on not satisfied.
Hence no such function exists.
Therefore it should be bonus.
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