JEE Main 2012MathematicsApplication of DerivativesMediumMCQ

JEE Main 2012Application of Derivatives Question with Solution

JEE Main 2012 (19 May Online)

Question

The weight of a certain stock of fish is given by , where is the size of stock and is the average weight of a fish. If and change with time as and , then the rate of change of with respect to at is

Choose an option

Show full solutionCorrect option: C
Correct answer
C13

Step-by-step explanation

Let Given : and and Equation (1) Thus,

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 2012, 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.