Calculate the Derivative of the Function $$f ( x ) = \frac { 8 } { x + 2 } ; f ^ { \prime } ( 0 )$$

question 54

Multiple Choice

Calculate the derivative of the function. Then find the value of the derivative as specified.
- $$f ( x ) = \frac { 8 } { x + 2 } ; f ^ { \prime } ( 0 )$$

• A) \(f ^ { \prime } ( x ) = - \frac { 8 } { ( x + 2 ) ^ { 2 } } ; f ^ { \prime } ( 0 ) = - 2\)
• B) \(\mathrm { f } ^ { \prime } ( \mathrm { x } ) = 8 ; \mathrm { f } ^ { \prime } ( 0 ) = 8\)
• C) \(f ^ { \prime } ( x ) = \frac { 8 } { ( x + 2 ) ^ { 2 } } ; f ^ { \prime } ( 0 ) = 2\)
• D) \(f ^ { \prime } ( x ) = - 8 ( x + 2 ) ^ { 2 } ; f ^ { \prime } ( 0 ) = - 32\)

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the total amount of a good or service that consumers are willing and able to purchase at a given price in a specified period.

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The expense associated with purchasing chemical or natural substances used to enhance plant growth and soil fertility.

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The fruit pods harvested from orchids of the genus Vanilla, primarily used for flavoring in culinary applications.

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