The function \( f(x)=2|x|+|x+2|-\|x+2|-2| x\| \) has a local minimum or a local maximum at \( x=...

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The function \( f(x)=2|x|+|x+2|-\|x+2|-2| x\| \) has a local minimum or a local maximum at \( x= \)
(a) -2
(b) \( \frac{-2}{3} \)
(c) 2
(d) \( \frac{2}{3} \)
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