Answer
$f(x)=2y^{3}x$
$f(y)=3x^{2}y^{2}$
Work Step by Step
$f(x,y)=x^{2}y^{3}$
To find f(x) we treat y as a constant and differentiate with respect to x.
$f(x)=2y^{3}x$
To find f(y) we treat x as a constant and differentiate with respect to y.
$f(y)=3x^{2}y^{2}$
