Question: Let f ( x , y ) = { x 3 + 2 x y x 2 + y 2 , ( x , y

Let f(x,y)={x3+2xyx2+y2,(x,y)(0,0);0,(x,y)=(0,0).if continuous at(0,0)? Explain.
(ii) Find the function fx(x,y)(x,y)(0,0) and (x,y)=(0,0) separately.
Let f ( x , y ) = { x 3 + 2 x y x 2 + y 2 , ( x ,

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