Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Which of the following statement is correct about the function 
A
Continuous on 
and differentiable on 
.
and differentiable on . B
Both continuous and differentiable on 
.
. C
Continuous on 
and differentiable on 
.
and differentiable on . D
Both continuous and differentiable on 
.
.
Text Solution
Verified by ExpertsThe correct answer is:
A
It is clear from above graph that,
is discontinuous at 
.
i.e. continuous on 
is non-differentiable at 
i.e. differentiable on 
.
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.
Similar Questions
Explore conceptually related problems
PHYSICS
SINGLE CORRECT MCQ
Three polaroids are kept coaxially. Angle between the transmission axes …
A screen is kept at a distance of 1 m from an object. A converging lens between the object and the …
A nuclear reactor containing produces 10MW. Calculate the fission rate assuming that 200 MeV of us…
The forward biased diode is
An equilateral prism is placed in a medium of air. A ray of light travelling in air is incident on …
In a Young's double slit experiment, the slit separation is 0.1 mm , the distance between the slits…