JEE Main 2026 — Differentiation Question with Solution
JEE Main 2026 (05 April Shift 2)
Question
Let and be twice differentiable functions satisfying for all , and . Then is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Given for all .
Let .
Taking the second derivative, .
Integrating with respect to , .
Given and , .
Therefore, , which gives .
Integrating again with respect to , .
Given and , .
Substituting in , .
Thus, .
Substituting , .
Answer:
Let .
Taking the second derivative, .
Integrating with respect to , .
Given and , .
Therefore, , which gives .
Integrating again with respect to , .
Given and , .
Substituting in , .
Thus, .
Substituting , .
Answer:
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This is a previous-year question from JEE Main 2026, 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.