Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let a function 
be defined as:
where 
. If 
is continuous at 
, then which of the following statements is NOT true?
A
is not differentiable at 
B
C
is increasing in 
D
has a local minima at 
Text Solution
Verified by ExpertsThe correct answer is:
C
Given 
is continuous at 
So 
So 
So 
At 
LHD 
RHD 
LHD 
RHD
Option is true
and 
Option is true
at 
This function is not increasing.
In the interval in 
Option is NOT TRUE.
This function 
is also local minima at 
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