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If Find ∂g∂x(1,0)\frac { \partial g } { \partial x } ( 1,0 )

Question 187

Essay

If g(x,y)={x4+y2x2+y4 if (x,y)≠(0,0)0 if (x,y)=(0,0)g ( x , y ) = \left\{ \begin{array} { l l } \frac { x ^ { 4 } + y ^ { 2 } } { x ^ { 2 } + y ^ { 4 } } & \text { if } ( x , y ) \neq ( 0,0 ) \\0 & \text { if } ( x , y ) = ( 0,0 )\end{array} \right. find ∂g∂x(1,0)\frac { \partial g } { \partial x } ( 1,0 ) and ∂g∂y(1,0)\frac { \partial g } { \partial y } ( 1,0 ) .

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