JEE Main 2020MathematicsContinuity and DifferentiabilityHardMCQ

JEE Main 2020 — Continuity and Differentiability Question with Solution

JEE Main 2020 (08 Jan Shift 2)

Question

Let S, be the set of all functions f:0,1→R, which are continuous on 0,1, and differentiable on 0,1. Then for every f in S, there exists c∈0,1, depending on f, such that.

Choose an option

Show full solutionCorrect option: B
Correct answer
Bf1-fc1-c=f'c

Step-by-step explanation

Let us consider fx, a constant function, as constant functions are continuous and differentiable everywhere.

Then, f1=fc & f'c=0

So, f1-fc1-c=f'c=0.

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About this question

This is a previous-year question from JEE Main 2020, covering the Continuity and Differentiability 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.