If $f ( x ) = - 3 x ^ { 2 } - 4 x$

Multiple Choice

If $f ( x ) = - 3 x ^ { 2 } - 4 x$ , find the following limit, if it exists.
$$\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$$

A) $- 6 x - 4$
B) $- 3 x - 4$
C) $2 x - 4$
D) $- 6 x$
E) The limit does not exist.