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

question 59

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.

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