Find the Derivative of the Function $f ( x ) = \left( x ^ { 3 } + 5 \right) \ln x$

Multiple Choice

Find the derivative of the function.
$f ( x ) = \left( x ^ { 3 } + 5 \right) \ln x$

A) $\frac { x ^ { 3 } ( 1 + \ln x ) + 5 } { x }$
B) $\frac { x ^ { 3 } ( 1 + 3 \ln x ) + 5 } { x }$
C) $\frac { x ^ { 3 } ( 3 + 3 \ln x ) + 5 } { x }$
D) $\frac { x ^ { 2 } ( 1 + 3 \ln x ) + 5 } { x }$
E) none of these