Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Which one of the following is not true always?
A
if 
is not continuous at 
, then it is not differentiable at 
is not continuous at , then it is not differentiable at
B
if 
is continuous at 
, then it is differentiable at 
is continuous at , then it is differentiable at
C
if 
and 
are differentiable at 
, then 
is also differentiable at 
and are differentiable at , then is also differentiable at
D
if a function 
is continuous at 
, then 
exists
is continuous at , then exists
Text Solution
Verified by ExpertsThe correct answer is:
B
: Every differential function is continuous but every continuous function is not differentiable. For example, 
is continuous at 
, but not differentiable at 
.
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