JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

Let

S=\left\{t \in R: f(x)=|x-\pi|\left(e^{|x|}-1\right) \sin |x|\right.

is not differentiable at

t

. Then, the set

S

is equal to

View answer and explanation

Correct option: D

\phi

Option D (

\phi

) is correct because the function

f(x)

is differentiable at both

x=0

and

x=\pi

, meaning the set

S

of non-differentiable points is empty.

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