Given $f ( x , y ) = x ^ { 2 } \sin ( x y )$ , find $f _ { x }$ , $f _ { y }$ , and $f _ { x y }$ .

Name: Given $f ( x , y ) = x ^ { 2 } \sin ( x y )$ , find $f _ { x }$ , $f _ { y }$ , and $f _ { x y }$ .
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The Answer of Given $f ( x , y ) = x ^ { 2 } \sin ( x y )$ , find $f _ { x }$ , $f _ { y }$ , and $f _ { x y }$ .

Given f(x,y)=x2sin⁡(xy)f ( x , y ) = x ^ { 2 } \sin ( x y )f(x,y)=x2sin(xy)

Given $f ( x , y ) = x ^ { 2 } \sin ( x y )$