Find the Derivative of the Function $f ( x ) = - 8 x ^ { 3 } - 2 x ^ { 2 } - 1$

Multiple Choice

Find the derivative of the function. $f ( x ) = - 8 x ^ { 3 } - 2 x ^ { 2 } - 1$

A) $f ^ { \prime } ( x ) = - 24 x ^ { 2 } - 4 x$
B) $f ^ { \prime } ( x ) = - 16 x ^ { 2 } - 2 x$
C) $f ^ { \prime } ( x ) = - 16 x - 2 x ^ { 2 }$
D) $f ^ { \prime } ( x ) = - 24 x ^ { 2 } - 4 x - 1$
E) none of the above