JEE Main 2018 — Application Of Derivatives Question with Solution
From: JEE Main 2018 (Offline)
Question
Let and ,
.
If , then the local minimum value of h(x) is
.
If , then the local minimum value of h(x) is
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Given and
As
=
=
=
Let
So =
then
At maximum or minimum .
Now we need to find which will tell at which point among and will be maximum and minimum.
So when , then =
As when then at the function will be minimum.
Min of = =
So local minimum of =
As
=
=
=
Let
So =
then
At maximum or minimum .
Now we need to find which will tell at which point among and will be maximum and minimum.
So when , then =
As when then at the function will be minimum.
Min of = =
So local minimum of =
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This is a previous-year question from JEE Main 2018, 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.