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 Use the Quotient Rule to differentiate the function ft(x)=4+xx2+9\text { Use the Quotient Rule to differentiate the function } f ^ {t } ( x ) = \frac { 4 + x } { x ^ { 2 } + 9 } \text {. }

Question 32

Multiple Choice

 Use the Quotient Rule to differentiate the function ft(x) =4+xx2+9\text { Use the Quotient Rule to differentiate the function } f ^ {t } ( x ) = \frac { 4 + x } { x ^ { 2 } + 9 } \text {. }


A) ft(x) =(9+8xx2) (x2+9) 2f ^ { t } ( x ) = \frac { \left( 9 + 8 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }
B) ft(x) =(98xx2) (x2+9) 2f ^ { t } ( x ) = \frac { \left( 9 - 8 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }
C) ft(x) =(94xx2) (x2+9) 2f ^ { t} ( x ) = \frac { \left( 9 - 4 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }
D) ft(x) =(98xx2) (x2+9) 2f ^ { t } ( x ) = - \frac { \left( 9 - 8 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }
E) ft(x) =(98x+x2) (x2+9) 2f ^ { t } ( x ) = \frac { \left( 9 - 8 x + x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }

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