Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let f(x) = 
, then f is
Text Solution
Verified by ExpertsThe correct answer is:
B
( I ) for derivability at x = 0
L.H.D. = f '(0 – )= 
= 
= 
– h . 
= 0
RHD f '(0 + ) = 
= 
= 0
So f(x) is derivable at x = 0
(ii) check for derivability at x = 2
RHD = f '(2 + ) = 
= 
= 
= 
= 
= 2 . 
= π
LHD = 
= 
= 
= 
= 
= 
= – π
So f(x) is not derivable at x = 2
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