$[0/7\mathrm{.}69$ Points$]$

WANEFMAC$815\mathrm{.}2\mathrm{.}010.$

Calculate $\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{x}},\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{y}},\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{x}}{|}_{(1,-1)}||,$ and $\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{y}}{|}_{(1,-1)}||$ when defined. $($If an answer is undefined, enter UNDEFINED.$)$

$f(x,y)=x^{-5}{y}^2+x{y}^2+4xy$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{x}}=$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{y}}=$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{x}}{|}_{(1,-1)}||=$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{y}}{|}_{(1,-1)}||=$