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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Definitions:

Cranial

Pertaining to the skull or cranium, often used to describe the direction towards the head.

Caudal

means towards the tail or posterior part of the body, opposite of cranial, which points towards the head.

Embryonic Development

Embryonic Development refers to the process in which an embryo forms and develops, leading to significant morphological changes from fertilization to the fetal stage.

Intramembranous Ossification

A process of bone development in which bones form directly from mesenchymal tissue without first being cartilage.