Find the derivative of the following function. $f ( x ) = \ln ( 9 x - 17 )$
A) $\frac { 9 } { 9 x - 17 }$
B) $\frac { 1 } { 9 x - 17 }$
C) $\frac { 17 } { 9 x - 17 }$
D) $\frac { 153 } { 9 x - 17 }$
E) none of these

Question

Find the derivative of the following function.   $f ( x ) = \ln ( 9 x - 17 )$  
A) $\frac { 9 } { 9 x - 17 }$
B)  $\frac { 1 } { 9 x - 17 }$
C)   $\frac { 17 } { 9 x - 17 }$
D)   $\frac { 153 } { 9 x - 17 }$
E) none of these

Quizplus · Accepted Answer

The derivative of $f(x) = \ln(9x - 17)$ is found using the chain rule. The derivative of $\ln(u)$ is $\frac{1}{u}$ times the derivative of $u$, where $u = 9x - 17$. The derivative of $9x - 17$ with respect to $x$ is $9$, so the derivative of $f(x)$ is $\frac{9}{9x - 17}$.

Find the Derivative of the Following Function f(x)=ln⁡(9x−17)f ( x ) = \ln ( 9 x - 17 )f(x)=ln(9x−17)

Find the Derivative of the Following Function $f ( x ) = \ln ( 9 x - 17 )$