Find the Second Derivative of the Function $$f ( x ) = x \left( 3 x ^ { 2 } - 1 \right) ^ { 4 }$$

Multiple Choice

Find the second derivative of the function.
Select the correct answer.
$$f ( x ) = x \left( 3 x ^ { 2 } - 1 \right) ^ { 4 }$$

A) $4 x \left( 3 x ^ { 2 } - 1 \right) ^ { 3 }$
B) $72 x \left( 3 x ^ { 2 } - 1 \right) ^ { 2 } \left( 9 x ^ { 2 } - 1 \right)$
C) $12 x \left( 3 x ^ { 2 } - 1 \right) ^ { 2 }$
D) $\left( 27 x ^ { 2 } - 1 \right) \left( 3 x ^ { 2 } - 1 \right) ^ { 3 }$