Solve this following Question

Question:

Let $S=\left\{t \in R: f(x)=|x-\pi| \cdot\left(e^{|x|}-1\right) \sin |x|\right.$ is not differentiable at $\left.t\right\}$. Then the set $S$ is equal to:

  1. $\{0\}$

  2. $\{\pi\}$

  3. $\{0, \pi\}$

  4. $\phi$ (an empty set)


Correct Option: , 4

Solution:

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