Paragraph: Let $\mathrm{f}(\mathrm{x})=\left\{\begin{array}{ll}-2, & -3 \leq \mathrm{x} \leq 0 \\ \mathrm{x}-2, & 0 \lt \mathrm{x} \leq 3\end{array}\right.$ and $\mathrm{g}(\mathrm{x})=\mathrm{f}(|\mathrm{x}|)+|\mathrm{f}(\mathrm{x})|$
Question: What is the value of the differential coefficient of $g(x)$ at $x=-2$ ?

• A

  $-1$
• Correct answer
  B

  $0$
• C

  $1$
• D

  $2$

Hence, the correct answer is option: 'B'.