Let be the domain of a twice differentiable function . Fo… | CGP Edu

Maths Functions, Limits, Continuity and Differentiability Telangana & AP CET Previous Year Question Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let be the domain of a twice differentiable function . For all and constant. If and , then is equal to

A

5

B

3

C

0

D

1

Text Solution

Verified by Experts

The correct answer is:

We have .....(i)

Now, .
Differentiate both sides
Again differentiate w.r.t. .

From (i) & (ii)

Now,
Differentiate w.r.t. .

Integrate both sides,

Put

So,

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