Differentiate the Function $$g ( x ) = \frac { \ln x } { x + 4 }$$

Multiple Choice

Differentiate the function.
$$g ( x ) = \frac { \ln x } { x + 4 }$$

A) $\frac { 1 } { x ( x + 4 ) }$
B) $\frac { x ( 1 - \ln x ) + 4 } { x ( x + 4 ) ^ { 2 } }$
C) $\frac { x ( 4 - \ln x ) + 1 } { x ( x + 4 ) ^ { 2 } }$
D) $- \frac { 1 } { x ( x + 4 ) ^ { 2 } }$