Simplify the Expression Representing the Derivative of a Function $$f ^ { \prime } ( x ) = \frac { x \left( 3 x ^ { 2 } \right) + \left( 4 x ^ { 2 } \right) ( x - 1 ) } { \left( x ^ { 2 } \right) ^ { 2 } }$$

Simplify the expression representing the derivative of a function.
- $$f ^ { \prime } ( x ) = \frac { x \left( 3 x ^ { 2 } \right) + \left( 4 x ^ { 2 } \right) ( x - 1 ) } { \left( x ^ { 2 } \right) ^ { 2 } }$$

A) $\frac { 7 x + 4 } { x ^ { 2 } }$
B) $\frac { 7 x ^ { 2 } + 4 } { x ^ { 4 } }$
C) $\frac { 7 x ^ { 3 } - 4 } { x }$
D) $\frac { 7 x - 4 } { x ^ { 2 } }$

Correct Answer:

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