JEE Main 2020MathematicsApplication Of DerivativesMonotonicitymediumMCQ

JEE Main 2020 — Application Of Derivatives Question with Solution

From: JEE Main 2020 (Online) 2nd September Evening Slot

Question

Let f : (–1, ) R be defined by f(0) = 1 and
f(x) = , x 0. Then the function f :

Choose an option

Show full solutionCorrect option: A
Correct answer
Adecreases in (–1, )

Step-by-step explanation







Let







For

and for

Also,





f(x) is a decreasing function for all

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About this question

This is a previous-year question from JEE Main 2020, 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.