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Let g(x,y)=(x2+y2)f(x,y)g ( x , y ) = \left( x ^ { 2 } + y ^ { 2 } \right) f ( x , y )

question 28

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Let g(x,y)=(x2+y2)f(x,y)g ( x , y ) = \left( x ^ { 2 } + y ^ { 2 } \right) f ( x , y ) , where f(x,y)={yyxxxyf ( x , y ) = \left\{ \begin{array} { l l } - | y | & | y | \leq | x | \\- | x | & | x | \leq | y |\end{array} \right. g is differentiable at (0,0).


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