$h^{\prime }\left(x\right)=\frac{g^{\prime }\left(x\right)f\left(x\right)-g\left(x\right)f^{\prime }\left(x\right)}{{\left(g\left(x\right)\right)}^2}$

$h^{\prime }\left(x\right)=\frac{f^{\prime }\left(x\right)g\left(x\right)-f\left(x\right)g^{\prime }\left(x\right)}{{\left(g\left(x\right)\right)}^2}$

$h^{\prime }\left(x\right)=\frac{f^{\prime }\left(x\right)g\left(x\right)+f\left(x\right)g^{\prime }\left(x\right)}{{\left(g\left(x\right)\right)}^2}$

$h^{\prime }\left(x\right)=\frac{g^{\prime }\left(x\right)f\left(x\right)-g\left(x\right)f^{\prime }\left(x\right)}{\left(g\left(x\right)\right)}$

$h^{\prime }\left(x\right)=\frac{f^{\prime }\left(x\right)g\left(x\right)+f\left(x\right)g^{\prime }\left(x\right)}{\left(g\left(x\right)\right)}$