Let $$f(x) = 2 + |x| - |x-1| + |x+1|$$, $$x \in \mathbb{R}$$. Consider
$$(S_1): f'(-3/2) + f'(-1/2) + f'(1/2) + f'(3/2) = 2$$
$$(S_2): \int_{-2}^{2} f(x) dx = 12$$
Then,

A

both $$(S_1)$$ and $$(S_2)$$ are correct

B

both $$(S_1)$$ and $$(S_2)$$ are wrong

C

only $$(S_1)$$ is correct

D

only $$(S_2)$$ is correct