I don't know if it will help you but I found a problem in my physics book that has the equation U(x,y) = 5.8x^2 - 3.6y^3, mass is .04 kg, x = .3m, y = .6m.
Correct Answers:
F = 130 m/s^2
132 degrees counterclockwise from the +x axis
My equation is U=5.65x^2 - 3.6y^3, mass = .04kg, x = .3m, y = .52m:
i took the partial derivative of U with respect to x and with respect to y.
Fx = -dU/dx = -11.3x
Fy = -dU/dy = -10.8y^2
using the same method that you did F = sqrt(Fx^2 + Fy^2) i got F = 4.474
F=ma so 4.474/.04...