Let F(x, Y) = $x ^ { 2 }$ $e ^ { x y }$

True/False

Let f(x, y) = $x ^ { 2 }$ $e ^ { x y }$ . Find $\frac { \partial f } { \partial x }$ . Is $\left( y x ^ { 2 } - 2 x \right) e ^ { x y }$ the correct answer?