Given That $f_{x}(x, y)=6 x y+y^{2} e^{xy^{2}}$ And $f _ { y } ( x , y ) = 3 x ^ { 2 } + 2 x y e ^ { x y ^ { 2 } }$

Essay

Given that $f_{x}(x, y)=6 x y+y^{2} e^{xy^{2}}$ and $f _ { y } ( x , y ) = 3 x ^ { 2 } + 2 x y e ^ { x y ^ { 2 } }$ Suppose that f(1, 1)= 4.Find the quadratic Taylor polynomial of f(x, y)at (1, 1).