What Are the Correct Partial Derivatives of the Function f(x, y) = x√(xy)?

[jmher0403]

Homework Statement

(x,y) = x√(xy)

The answer says:

fx=3/2*√(xy)
fy=(x√x) / (2√y)
fxx= (3√y) / (4√x)
fxy= (3√x) / (4√y)
fyx =(3√x) / (4√y)
fyy = -(x√x) / (4y√

I don't get from the beginning.

shouldnt fx be equal to (3/2)x^2 * (x^3 * y)^-(3/2)??

When I do second derivative fxx from fx, it doesn't still make sense...

please help

 

[Dick]

Why do you think fx be equal to (3/2)x^2 * (x^3 * y)^-(3/2)??