Find the Derivative of the Function $f ( x ) = \ln \mid \frac { ( 3 x + 5 ) ^ { 2 } } { ( 7 x + 5 ) ^ { 2 } ( 2 x + 8 ) }$

Multiple Choice

Find the derivative of the function.
$f ( x ) = \ln \mid \frac { ( 3 x + 5 ) ^ { 2 } } { ( 7 x + 5 ) ^ { 2 } ( 2 x + 8 ) }$

A) $\frac { 3 } { ( 3 x + 5 ) ^ { 2 } } - \frac { 7 } { ( 7 x + 5 ) ^ { 2 } } - \frac { 2 } { 2 x + 8 }$
B) $\frac { 6 } { 3 x + 5 } + \frac { 14 } { 7 x + 5 } + \frac { 2 } { 2 x + 8 }$
C) $\frac { 3 } { ( 3 x + 5 ) ^ { 2 } } + \frac { 7 } { ( 7 x + 5 ) ^ { 2 } } + \frac { 2 } { 2 x + 8 }$
D) $\frac { 6 } { 3 x + 5 } - \frac { 14 } { 7 x + 5 } - \frac { 2 } { 2 x + 8 }$
E) none of these