$\text { Find the derivative of the algebraic function } f ( x ) = x \left( 3 - \frac { 4 } { x + 6 } \right) \text {. }$
A)$f ^ {t} ( x ) = \frac { 84 - 36 x + 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
B)$f ^ { t } ( x ) = \frac { 84 + 36 x + 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
C)$f ^ {t } ( x ) = \frac { 84 + 9 x + 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
D)$f ^ {t} ( x ) = \frac { 84 - 36 x - 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
E)$f ^ { t } ( x ) = \frac { 84 + 36 x - 3 x ^ { 2 } } { ( x + 6 ) }$

Question

$\text { Find the derivative of the algebraic function } f ( x ) = x \left( 3 - \frac { 4 } { x + 6 } \right) \text {. }$ 
A)$f ^ {t} ( x ) = \frac { 84 - 36 x + 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
B)$f ^ { t } ( x ) = \frac { 84 + 36 x + 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
C)$f ^ {t } ( x ) = \frac { 84 + 9 x + 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
D)$f ^ {t} ( x ) = \frac { 84 - 36 x - 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
E)$f ^ { t } ( x ) = \frac { 84 + 36 x - 3 x ^ { 2 } } { ( x + 6 ) }$

Quizplus · Accepted Answer

The Answer of $\text { Find the derivative of the algebraic function } f ( x ) = x \left( 3 - \frac { 4 } { x + 6 } \right) \text {. }$ 
A)$f ^ {t} ( x ) = \frac { 84 - 36 x + 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
B)$f ^ { t } ( x ) = \frac { 84 + 36 x + 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
C)$f ^ {t } ( x ) = \frac { 84 + 9 x + 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
D)$f ^ {t} ( x ) = \frac { 84 - 36 x - 3 x ^ { 2 } } { ( x + 6 ) ^ { 2 } }$
E)$f ^ { t } ( x ) = \frac { 84 + 36 x - 3 x ^ { 2 } } { ( x + 6 ) }$

Find the derivative of the algebraic function f(x)=x(3−4x+6). \text { Find the derivative of the algebraic function } f ( x ) = x \left( 3 - \frac { 4 } { x + 6 } \right) \text {. } Find the derivative of the algebraic function f(x)=x(3−x+64​).

$\text { Find the derivative of the algebraic function } f ( x ) = x \left( 3 - \frac { 4 } { x + 6 } \right) \text {. }$