JEE Main 2010MathematicsApplication Of DerivativesMaxima And MinimamediumMCQ

JEE Main 2010Application Of Derivatives Question with Solution

From: AIEEE 2010

Question

Let be a continuous function defined by $f\left( x \right) = {1 \over {{e^x} + 2{e^{ - x}}}}$

Statement - 1 : for some .

Statement - 2 : for all

Choose an option

Show full solutionCorrect option: D
Correct answer
DStatement - 1 is true, Statement -2 is true; Statement -2 is a correct explanation for Statement - 1.

Step-by-step explanation









maximum



Since for some

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About this question

This is a previous-year question from JEE Main 2010, 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.