If $g(x)=\frac{x^{4}f(x)}{13x},$ then which of the following is equal to $g^{\text{'}}(x)?$

$g^{\text{'}}(x)=\frac{4x^3{f}^{\text{'}}(x)}{3}$

$g^{\text{'}}(x)=\frac{(13x)(x^4{f}^{\text{'}}(x)4x^{3}f(x))-3x^{4}f(x)}{(13x{)}^2}$

$g^{\text{'}}(x)=\frac{3x^4{f}^{\text{'}}(x)-(13x)(4x^3{f}^{\text{'}}(x))}{(13x{)}^2}$

$g^{\text{'}}(x)=\frac{(13x)(4x^3{f}^{\text{'}}(x))-3x^{4}f(x)}{(13x{)}^2}$

None of the above