Answer
$\lt y^2cos(xy) ,sin(xy)+xycos(xy)\gt$
Work Step by Step
$f(x,y)=ysin(xy)$
$f_x(x,y)=y^2cos(xy)$
$f_y(x,y)=sin(xy)+xycos(xy)$
Gradient vector field of $f$ is: $\lt y^2cos(xy) ,sin(xy)+xycos(xy)\gt$
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