- $$g ( x ) = \frac { x } { x + 3 }$$

question 9

Multiple Choice

$\text { Use the formula } f ^ { \prime } ( x ) = \lim _ { z \rightarrow x } \frac { f ( z ) - f ( x ) } { z - x } \text { to find the derivative of the function. }$
- $$g ( x ) = \frac { x } { x + 3 }$$

• A) \(\frac { x ^ { 2 } } { x + 3 }\)
• B) \(\frac { x } { ( x + 3 ) ^ { 2 } }\)
• C) \(\frac { 3 } { ( x + 3 ) ^ { 2 } }\)
• D) \(- \frac { 3 } { ( x + 3 ) ^ { 2 } }\)

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Definitions:

Diminished

Reduced in size, importance, or effectiveness.

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Advanced mental processes employed by individuals with extensive knowledge or skill in a particular domain, enabling them to solve problems, make decisions, and understand complex information efficiently.

Intuitive

Relating to knowing or understanding something instinctively, without the need for conscious reasoning.

Strategic

Relating to the identification of long-term or overall aims and interests and the means of achieving them, often involving planning and resource allocation.