Show that there does not exist any function with continuous second partial derivatives in $\mathbb { R } ^ { 2 }$ such that $\frac { \delta f } { \delta x } = x ^ { 2 } y$ and $\frac { \partial f } { \partial y } = x$ .

Question

Show that there does not exist any function  with continuous second partial derivatives in $\mathbb { R } ^ { 2 }$ such that $\frac { \delta f } { \delta x } = x ^ { 2 } y$ and $\frac { \partial f } { \partial y } = x$ .

Quizplus · Accepted Answer

The Answer of Show that there does not exist any function  with continuous second partial derivatives in $\mathbb { R } ^ { 2 }$ such that $\frac { \delta f } { \delta x } = x ^ { 2 } y$ and $\frac { \partial f } { \partial y } = x$ .

Show That There Does Not Exist Any Function with Continuous