JEE Main 2022 — Application Of Derivatives Question with Solution
From: JEE Main 2022 (Online) 25th July Morning Shift
Question
The curve touches the -axis at the point and cuts the -axis at the point , where is equal to 3 . Then the local maximum value of is:
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
(i)
Touches -axis at
Touches -axis at also implies
cuts -axis at
Given,
From (iii), (iv) and (v)
By first derivative test in point of local maximum Hence local maximum value of is
i.e.,
Touches -axis at
Touches -axis at also implies
cuts -axis at
Given,
From (iii), (iv) and (v)
By first derivative test in point of local maximum Hence local maximum value of is
i.e.,
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