Comprehension Passage
Let \({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} { - 2,{\rm{\;\;}} - 3 \le {\rm{x}} \le 0}\\ {{\rm{x}} - 2,{\rm{\;\;}}0 < {\rm{x}} \le 3} \end{array}} \right.{\rm{\;}}\) and g(x) = f(|x|) + |f(x)|
What is the value of the differential coefficient of g(x) at x = -2?
1
-1
2
0
3
1
4
2