JEE Main 2023 — Differentiation Question with Solution
From: JEE Main 2023 (Online) 1st February Morning Shift
Question
If and , then the value of is equal to ____________.
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Show full solutionCorrect answer: 14
Correct answer
14
Step-by-step explanation
Let and
Now,
$\Rightarrow g^{\prime}(x)=2 x(a+b+3)+a \Rightarrow g^{\prime}(1)=2(a+b+3)$$+a=a$
.......(1)
........(2)
Solving (i) and (ii), we get
and
and
and
Now,
$\Rightarrow g^{\prime}(x)=2 x(a+b+3)+a \Rightarrow g^{\prime}(1)=2(a+b+3)$$+a=a$
.......(1)
........(2)
Solving (i) and (ii), we get
and
and
and
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This is a previous-year question from JEE Main 2023, covering the Differentiation 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.