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

question 138

Multiple Choice

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

• 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)\(f ^ { t } ( x ) = \frac { 84 + 36 x - 3 x ^ { 2 } } { ( x + 6 ) }\)

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