JEE Main 2019 — Application Of Derivatives Question with Solution
From: JEE Main 2019 (Online) 12th April Morning Slot
Question
If m is the minimum value of k for which the function f(x) = x is increasing in the interval [0,3]
and M is the maximum value of f in [0, 3] when k = m, then the ordered pair (m, M) is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Now for increasing function
for f'(x) 0,
k 3 and k 4 k 4
m = 4
So f(x) is maximum when k = 4 then
(m, M) = (4, )
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This is a previous-year question from JEE Main 2019, covering the Application Of Derivatives chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.