Let and be twice differentiable functions on R such that … | CGP Edu

Maths Differentiation and Applications of Derivatives JEE Main 2023 - ( Differentiation ) Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let and be twice differentiable functions on R such that

Then which of the following is NOT true?

A

B

If

, then if

C

D

There exists

such that

Text Solution

Verified by Experts

The correct answer is:

By integrating (i)

At ,

Again by integrating,

At ,

So,

At ,

Now, for

So,

(option is NOT true)
Now,

(option (3) is True)
If option is true and now to solve

here, ve and ve
So there exists
such that
(option is true)

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