Let $f(x)$ and $g(x)$ be differentiable real valued functions on $R.$ We know that the points $(-4,1)$ and $(3,4)$ lie on the graph of the curve $y=f(x)$ and the points $(-4,3)$ and $(3,-2)$ lie on the graph of $y=g(x).$ We know also that $f^{\text{'}}(-4)=3,f^{\text{'}}(3)=-4.g^{\text{'}}(-4)=-2,$ and $g^{\text{'}}(3)=6.$

$($a$)$ If $h(x)=g(x)*f(x),$ then $h^{\text{'}}(-4)=?$

$($b$)$ If $h(x)=g(x)*f(x),$ then $h^{\text{'}}(3)=?$

$($c$)$ If $h(x)=(2f(x)3g(x){)}^4,$ then $h^{\text{'}}(-4)=?$

$($d$)$ If $h(x)=(2f(x)3g(x){)}^4,$ then $h^{\text{'}}(3)=?$

$($e$)$ If $h(x)=f$@$g(x),$ then $h^{\text{'}}(-4)=?$

$(f)$ If $h(x)=\frac{f(x)}{g(x)},$ then $h^{\text{'}}(3)=?$