Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
be defined as
If 
is continuous everywhere in 
and 
is the number of points where 
is NOT differential then 
equals:
Text Solution
Verified by ExpertsThe correct answer is:
D
At 
is continuous therefore,
……… .. (1)
……… . (2)
from (1) & (2)
at 
is continuous therefore,
……… . (3)
………… (4)
has to be equal to 2
for limit to exist 
and limit is 
…… . (5)
from (3), (4) & (5)
checking differentiability at 
LHD : 
RHD : 
Function is differentiable at every point in its domain
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