Consider the partial derivatives $$f_{x}(x,y) = 3x^{2}y^{4}-10xy,$$ $$f_{y}(x,y) = 4x^{3}y^{3}-5x^{2}.$$ Is there a function $f$ which has these partial derivatives?
? Yes No

If so, what is it?
$f =$
(Enter none if there is no such function.)

Are there any others?
? Yes No