and are two differentiable function on such that , , … | CGP Edu

Maths Differentiation and Applications of Derivatives Differentiation by Substitution, Higher Order Derivatives Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

and are two differentiable function on such that , , then at is

A

0

B

2

C

10

D

– 5

Text Solution

Verified by Experts

The correct answer is:

Integrate w.r.t. x ,

At , ⇒ ⇒ ⇒ ⇒

Hence, .

Again integrate w.r.t. x, .

At , ⇒ ⇒

⇒ ⇒

Then

∴ ∴ .

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