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

Question

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

Quizplus · Accepted Answer

The Answer of If $g ( x , y ) = \left\{ \begin{array} { l l } 
\frac { x ^ { 4 } + y ^ { 2 } } { x ^ { 2 } + y ^ { 4 } } & \text { if } ( x , y ) \neq ( 0,0 ) \
0 & \text { if } ( x , y ) = ( 0,0 )
\end{array} \right.$ find $\frac { \partial g } { \partial x } ( 1,0 )$ and $\frac { \partial g } { \partial y } ( 1,0 )$ .

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

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