Q$2$ Partial Derivatives

$66$ Points

Let c$($x$,$y$)=$C$(\backslash$sigma $+$x$)^(-\backslash$alpha $)$y$^(1+\backslash$beta $)$ with $\backslash$beta $=4,\backslash$alpha $=2$ and $\backslash$sigma $=1.$

Q$2\mathrm{.}1$ Partial Derivatives w$.$r$.$t$.$ y

$33$ Points

Find $($delc$($x$,$y$))/($dely$)$ :

$-4$C$($y$^(4))/((1+$x$)^(-2))$

$4$C$($y$^(2))/((1+$x$)^(-3))$

$4$C$($y$^(4))/((1+$x$)^(2))$

$4$C$($y$^(2))/((1+$x$)^(3))$

None listed

$(5$Cy$^(4))/(1+$x$)$