If is differentiable at then is | CGP Edu

Maths Functions, Limits, Continuity and Differentiability Differentiability Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If is differentiable at then is

A

B

C

D

Text Solution

Verified by Experts

The correct answer is:

Given is differentiable at . Hence, will be continuous at .

∴ ∴

⇒ ⇒ ⇒ ⇒ ….. (i)

But is differentiable at , then

⇒ ⇒

⇒ ⇒

At ⇒ ⇒ ⇒ ⇒

⇒ ⇒ .

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