JEE Math Practice Question

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

1. A.{0, $$\pi $$}
2. B.$$\phi $$ (an empty set)
3. C.{0}
4. D.{$$\pi $$}