Compute the Derivative Function $f ^ { \prime } ( x )$

Multiple Choice

Compute the derivative function $f ^ { \prime } ( x )$ algebraically.
$f ( x ) = - x ^ { 2 } - 2 x$

A) $f ^ { \prime } ( x ) = 2 x - 2$
B) $f ^ { \prime } ( x ) = - 2$
C) $f ^ { \prime } ( x ) = - 2 x$
D) $f ^ { \prime } ( x ) = - 2 x - 2$
E) $f ^ { \prime } ( x ) = - x - 2$