- $$g ( x ) = \frac { x } { x + 5 }$$

question 188

Multiple Choice

$$\text { Use the formula } f ^ { \prime } ( x ) = \lim _ { z \rightarrow x } \frac { f ( z ) - f ( x ) } { z - x } \text { to find the derivative of the function. }$$
- $$g ( x ) = \frac { x } { x + 5 }$$

• A) \(\frac { x ^ { 2 } } { x + 5 }\)
• B) \(\frac { 5 } { ( x + 5 ) ^ { 2 } }\)
• C) \(\frac { x } { ( x + 5 ) ^ { 2 } }\)
• D) \(- \frac { 5 } { ( x + 5 ) ^ { 2 } }\)

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Definitions:

Hexanal

Hexanal is an organic compound commonly found as a component of fragrances and flavors, characterized by a grassy or fruity smell.

Ethylbutanal

A chemical compound with a distinctive smell, often used in flavoring and fragrance manufacturing.

Compound Name

The unique name given to a chemical substance, describing its composition and molecular structure.

Propanoic Acid

A naturally occurring organic compound with the formula C2H5COOH, used in the manufacture of various plastics and preservatives.