JEE Main 2024MathematicsApplication Of DerivativesMonotonicitymediumMCQ

JEE Main 2024 — Application Of Derivatives Question with Solution

From: JEE Main 2024 (Online) 5th April Morning Shift

Question

For the function

consider the following two statements :

(I) is increasing in .

(II) is decreasing in .

Between the above two statements,

Choose an option

Show full solutionCorrect option: B
Correct answer
Bboth (I) and (II) are true.

Step-by-step explanation

and also when

is increasing

Now,

Hence, is decreasing

Both statements (I) and (II) are true

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About this question

This is a previous-year question from JEE Main 2024, 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.