JEE Main 2021MathematicsApplication Of DerivativesMaxima And MinimamediumMCQ

JEE Main 2021Application Of Derivatives Question with Solution

From: JEE Main 2021 (Online) 20th July Evening Shift

Question

The sum of all the local minimum values of the twice differentiable function f : R R defined by is :

Choose an option

Show full solutionCorrect option: C
Correct answer
C27

Step-by-step explanation

..... (i)

..... (ii)

..... (iii)

Now, is 3rd equation





Use (ii)











x = 1 & 3

Use (iii)



maxima

minima.

Use (i)







Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Application Of Derivatives chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2021, 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.