Which of the following functions is differentiable at | CGP Edu

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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Which of the following functions is differentiable at

A

B

C

D

Text Solution

Verified by Experts

The correct answer is:

which is differentiable everywhere and is not differentiable at . So, both are not differentiable at .

For

For .

∴ ∴ Its LHD is

and its RHD at is .

∴ ∴ is not differentiable at .

For

For

∴ ∴ its LHD at is and its RHD at is

∴ ∴ is differentiable at .

a

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