Find the derivative of the function $g(x)=\frac{4ln(4x)}{45x}.$

$($A$)g^{\text{'}}(x)=\frac{1620x-20xln(4x)}{x(45x{)}^2}$

$($B$)g^{\text{'}}(x)=\frac{1}{5x}$

$($C$)g^{\text{'}}(x)=\frac{4}{5x}$

$($D$)g^{\text{'}}(x)=\frac{45x-20xln(4x)}{x(45x{)}^2}$

$($E$)$ None of these