Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let S = {t ∈ R : f(x) = |x – π |. (e |x| – 1) sin|x| is not differentiable at t.} Then the set S is equal to :
Text Solution
Verified by ExpertsThe correct answer is:
C
f (x) = |x – π |. (e |x| –1) sin |x|
According to given options we have to check only at x = 0 and π
at x = 0, f(0) = 0
LHD = 
= 
= RHD = 
= 0 ⇒ diff. at x = 0
Now at x = π
f( π ) = 0
LHD = 
= 
= 0
RHD = 
= 
= 0
differential at x = π also, hence answer is
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