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

Multiple Choice

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

A) $f ^ { \prime } ( x ) = \frac { x ^ { 7 } ( 32 - 34 x ) } { 2 \sqrt { 2 - 2 x } }$
B) $f ^ { \prime } ( x ) = \frac { x ^ { 7 } ( 32 + 34 x ) } { 2 \sqrt { 2 - 2 x } }$
C) $f ^ { \prime } ( x ) = \frac { x ^ { 7 } ( 2 - 34 x ) } { 2 \sqrt { 2 - 2 x } }$
D) $f ^ { \prime } ( x ) = \frac { x ^ { 7 } ( 32 - 2 x ) } { 2 \sqrt { 2 - 2 x } }$
E) $f ^ { \prime } ( x ) = \frac { x ^ { 7 } ( 2 + 2 x ) } { 2 \sqrt { 2 - 2 x } }$