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

question 211

Multiple Choice

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ . $f ( x ) = 6 - 7 x$

• A) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 7\)
• B) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 6\)
• C) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - 8\)
• D) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - 7\)
• E) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = 8\)

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Definitions:

Immune Reaction

The body's defensive response to foreign substances or pathogens, involving recognition and attack mechanisms to protect against disease.

Chemical Barrier

A chemical barrier refers to a mechanism of defense provided by the secretion of chemicals that deter pathogens or predators.

Pathogens

microorganisms that cause diseases in their hosts.

Foreign Substance

Any material or substance that is not naturally part of an object or body and may be harmful or benign.