$[6$ points$]$ Define

$f(x)=p(\frac{g(x)h(x)+1}{s(x)})$

where $p,g,h,$ and $s$ are differentiable functions. The table below lists relevant values at $x=1$ and $x=3$ :

$\backslash$table$[[x,g(x),h(x),s(x),p(x),g^{\text{'}}(x),h^{\text{'}}(x),s^{\text{'}}(x),p^{\text{'}}(x)$