Let $f ( x ) = e ^ { x }$. The function $g$ is defined as
$$g ( x ) = ( f \circ f ) ( x )$$
Accordingly, what is the value of the derivative of the $\mathbf { g }$ function at the point $\mathbf { x } = \boldsymbol { \ln } \mathbf { 2 }$, that is, $\mathbf { g } ^ { \prime } ( \ln 2 )$?\\
A) e\\
B) $\ln 2$\\
C) $2 \ln 2$\\
D) $e ^ { 2 }$\\
E) $2 e ^ { 2 }$