Attempt $1$: The answer $is$ incorrect.

$Iff(x)=\frac{7x^2+12x+13}{\sqrt[\phantom{2}]{x}},$ find $f^{\text{'}}(x).$

$f^{\text{'}}(x)=\frac{21}{2}{x}^{\frac{1}{2}}+6x^{-\frac{1}{2}}-\frac{13}{2}{x}^{\frac{3}{2}}$