If then which of the following is true

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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

f is continuous and differentiable at every point

f is continuous at every point but is not differentiable

f is differentiable at every point

f is differentiable only at the origin

Text Solution

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The correct answer is:

and

and ;

Hence f is continuous at

At remaining points is obviously continuous.

Thus it is everywhere continuous.

Again,

is not differentiable at .

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