Find the derivative of the function. $g ( x ) = \ln | 8 x - 9 |$
A) $\frac { 8 } { | 8 x - 9 | }$
B) $\frac { 1 } { 8 x - 9 }$
C) $\frac { 1 } { - 8 x + 9 }$
D) $\frac { 8 } { 8 x - 9 }$
E) none of these

Question

Find the derivative of the function.   $g ( x ) = \ln | 8 x - 9 |$  
A)  $\frac { 8 } { | 8 x - 9 | }$
B)  $\frac { 1 } { 8 x - 9 }$
C)   $\frac { 1 } { - 8 x + 9 }$
D)   $\frac { 8 } { 8 x - 9 }$
E) none of these

Quizplus · Accepted Answer

The derivative of $\ln |u|$ is $\frac{u'}{u}$. Here, $u = 8x - 9$ and $u' = 8$, so the derivative is $\frac{8}{8x - 9}$.

Find the Derivative of the Function g(x)=ln⁡∣8x−9∣g ( x ) = \ln | 8 x - 9 |g(x)=ln∣8x−9∣

Find the Derivative of the Function $g ( x ) = \ln | 8 x - 9 |$