Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$

question 166

Multiple Choice

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ . $f ( x ) = x ^ { 2 } - 7 x$

• A) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 2 x - 9\)
• B) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 2 x - 7\)
• C) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 2 x + 7\)
• D) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - ( 2 x - 7 )\)
• E) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 2 x + 6\)

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Definitions:

Averages

Statistical measures representing the central or typical value in a set of data.

Neuronal Networks

Complex webs of neurons interconnected through synapses, responsible for transmitting and processing information in the brain and nervous system.

Myelin Sheaths

Protective coverings around nerve fibers that increase the speed at which electrical impulses propagate along the nerve cells.

White Matter

Brain tissue composed of myelinated nerve fibers that connect different areas of the brain, facilitating communication among neurons.