Differentiate the function. Select the correct answer.
$$g ( x ) = \frac { \ln x } { x + 4 }$$
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) $- \frac { 1 } { x ( x + 4 ) ^ { 2 } }$

Question

Quizplus · Accepted Answer

The correct answer is B because the derivative of g(x) is g'(x) = (x + 4) * (1/x) - (ln x) * (1) / (x + 4)^2 = (x + 4 - ln x) / (x + 4)^2.

Differentiate the Function g(x)=ln⁡xx+4g ( x ) = \frac { \ln x } { x + 4 }g(x)=x+4lnx​

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