Question

what is derivative of Ux and Uy of U = x^(1/2)*y^(1/2)

Answer 1

partials?

Answer 2

yes

Answer 3

for d/dx (f(x,y)), just treat any "y's" as constants
or d/dy (f(x,y)), just treat any "x's" as constants

Answer 4

If i divide derivative of Ux and Uy would it be 1?

Answer 5

eg.: d/dx ( y) = 0
d/dx (y*x) = y
d/dx (y^2*x) = y^2
d/dx(y^2*x^2) = y^2 * 2x

Answer 6

These two are exanmples that might help you better understand what @Algebraic! means.