JEE Main 2024MathematicsApplication of DerivativesEasyMCQ

JEE Main 2024 — Application of Derivatives Question with Solution

JEE Main 2024 (29 Jan Shift 2)

Question

The function fx=2x+3x23, x∈R, has

Choose an option

Show full solutionCorrect option: C
Correct answer
Cexactly one point of local maxima and exactly one point of local minima

Step-by-step explanation

Given: f(x)=2x+3(x)23

⇒f'x=2+2x-13

⇒f'x=21+1x13

⇒f'x=2x13+1x13

The function changes from positive to negative at x=1 and from negative to positive at x=0

So, the point of local maxima M is at x=-1 and the point of local minima m at x=0

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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.