Convibler the fellowing.

$W=xy,=s3t,y=x=32,z=s{t}^2$

$($a$)$ Find $\frac{fw}{s}$ and $\frac{fw}{t}$ by using the appropriate Chain Rule. $($Enter your answers in terms of s and $t.)$

An $=$

Av $$

at

$($b$)$ Find $\frac{dw}{di}$ and $\frac{dw}{dt}$ by converting $\%$ to a funcion of $s$ and $t$ belere differenting. $($Criter your asswers in terms of $s$ and $t.)$

$\frac{Aw}{Br}=$

$\frac{dw}{dx}=$