Let and be two functions having finite non-zero 3 rd orde… | CGP Edu

Maths Differentiation and Applications of Derivatives Hard Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let and be two functions having finite non-zero 3 rd order derivatives and for all, . If for all , then is equal to

A

B

C

D

Text Solution

Verified by Experts

The correct answer is:

We have

Differentiating with respect to x , we get

…..(i)

Differentiating (i) w . r . t . x , we get

…..(ii)

Differentiating (ii) w . r . t . x , we get

⇒ ⇒

⇒ ⇒

⇒ ⇒ , [using (i)]

⇒ ⇒ .

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