Answer
\[{y^,} = \frac{1}{x}\]
Work Step by Step
\[\begin{gathered}
y = \ln \,\left( {8x} \right) \hfill \\
Find\,\,the\,\,derivative \hfill \\
{y^,} = \,\,{\left[ {\ln \,\left( {8x} \right)} \right]^,} \hfill \\
Use\,\,the\,\,formula\,\frac{d}{{dx}}\,\,\left[ {\ln g\,\left( x \right)} \right] = \frac{{{g^,}\,\left( x \right)}}{{g\,\left( x \right)}} \hfill \\
Here\,\,g\,\left( x \right) = 8x\, \hfill \\
Then \hfill \\
{y^,} = \frac{{\,{{\left( {8x} \right)}^,}}}{{8x}} \hfill \\
{y^,} = \frac{8}{{8x}} \hfill \\
Simplifying \hfill \\
{y^,} = \frac{1}{x} \hfill \\
\hfill \\
\end{gathered} \]
