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 12, 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

Previous Question Next Question

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

Let , If is continuous in , then is

The function is

Suppose for . If is the function whose graph is the reflection of the graph of with respect to …

The function , where assumes its minimum value only at one point, if

Let and .Then the number of onto functions from E to F is

CG

CGP Question Assistant Question Bank + AI Help

Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.

Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.