Differentiate the Function $$g ( x ) = \frac { \ln x } { x + 4 }$$

question 54

Multiple Choice

Differentiate the function. $$g ( x ) = \frac { \ln x } { x + 4 }$$

• A) \(\frac { 1 } { x ( x + 4 ) }\)
• B) \(\frac { x ( 1 - \ln x ) + 4 } { x ( x + 4 ) ^ { 2 } }\)
• C) \(\frac { x ( 4 - \ln x ) + 1 } { x ( x + 4 ) ^ { 2 } }\)
• D) \(- \frac { 1 } { x ( x + 4 ) ^ { 2 } }\)

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