$$f ( x ) = e ^ { 2 x } - e ^ { - 2 x }$$
What is the value of the 15th order derivative of the function at the point $x = \ln 2$, that is $\mathbf { f } ^ { \mathbf { ( 1 5 ) } } ( \mathbf { \ln } \mathbf { 2 } )$?\\
A) $17 \cdot 2 ^ { 13 }$\\
B) $15 \cdot 2 ^ { 13 }$\\
C) $9 \cdot 2 ^ { 13 }$\\
D) $15 \cdot 2 ^ { 12 }$\\
E) $7 \cdot 2 ^ { 12 }$