Question

confirm fxy=fyx

Answer 1

isn't that just commutative property of multiplication?

Answer 2

\[f(x,y)=x ^{2}y -(\frac{ x }{ y ^{2} }\]

Answer 3

The commutative property of multiplication states that two numbers can be multiplied in either order.

Answer 4

partial derivative question

Answer 5

I will just do this one because you appear not to be online, but please stick around in the future to get real help\[f=x^2y-\frac{x}{y^2}\]\[f_x=2xy+x^2-\frac1{y^2}\]\[f_{xy}=2x+\frac2{y^3}\]\[f_y=x^2+\frac{2x}{y^3}\]\[f_{yx}=2x+\frac2{y^3}=f_{xy}\]