$\text { Use the Quotient Rule to differentiate the function } f ^ {t } ( x ) = \frac { 4 + x } { x ^ { 2 } + 9 } \text {. }$

question 32

Multiple Choice

$\text { Use the Quotient Rule to differentiate the function } f ^ {t } ( x ) = \frac { 4 + x } { x ^ { 2 } + 9 } \text {. }$

• A) \(f ^ { t } ( x ) = \frac { \left( 9 + 8 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)
• B) \(f ^ { t } ( x ) = \frac { \left( 9 - 8 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)
• C)\(f ^ { t} ( x ) = \frac { \left( 9 - 4 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)
• D)\(f ^ { t } ( x ) = - \frac { \left( 9 - 8 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)
• E)\(f ^ { t } ( x ) = \frac { \left( 9 - 8 x + x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)

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