$\text { Use the Quotient Rule to differentiate the function } f ( x ) = \frac { 8 x } { x ^ { 5 } + 3 } \text {. }$

Multiple Choice

$\text { Use the Quotient Rule to differentiate the function } f ( x ) = \frac { 8 x } { x ^ { 5 } + 3 } \text {. }$

A) $f ^ { t} ( x ) = - \frac { 8 \left( - 3 + 4 x ^ { 5 } \right) } { \left( x ^ { 5 } + 3 \right) ^ { 2 } }$
B) $f ^ { t } ( x ) = \frac { 8 \left( - 3 - 4 x ^ { 5 } \right) } { \left( x ^ { 5 } + 3 \right) ^ { 2 } }$
C) $f ^ { t } ( x ) = - \frac { 8 \left( 3 + 5 x ^ { 5 } \right) } { \left( x ^ { 5 } + 3 \right) ^ { 2 } }$
D) $f ^ { t } ( x ) = \frac { 8 \left( 3 + 4 x ^ { 5 } \right) } { \left( x ^ { 5 } + 3 \right) ^ { 2 } }$
E) $f ^ { t } ( x ) = - \frac { 8 \left( 3 + 6 x ^ { 5 } \right) } { \left( x ^ { 5 } + 3 \right) ^ { 2 } }$