$\text { Find the derivative of the function } f ( x ) = \frac { e ^ { x } - 4 } { e ^ { x } + 4 } \text {. Simplify your answer. }$

question 17

Multiple Choice

$\text { Find the derivative of the function } f ( x ) = \frac { e ^ { x } - 4 } { e ^ { x } + 4 } \text {. Simplify your answer. }$

• A)\(\frac { 2 e ^ { 2 x } } { \left( e ^ { x } + 4 \right) ^ { 2 } }\)
• B)\(\frac { - 8 e ^ { x } } { \left( e ^ { x } + 4 \right) ^ { 2 } }\)
• C)\(\frac { 8 e ^ { x } } { \left( e ^ { x } + 4 \right) ^ { 2 } }\)
• D) \(\frac { 2 e ^ { 2 x } + 8 e ^ { x } } { \left( e ^ { x } + 4 \right) ^ { 2 } }\)
• E)\(\frac { 1 } { \left( e ^ { x } + 4 \right) ^ { 2 } }\)

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