Given that the surface (x**5)(y**2)+(y**5)(z**3)+(z**3)(x**2)+4xyz=7 has the equation z=f(x,y) in a neighbourhood of the point (1,1,1) with f(x,y) differentiable, find the derivatives
(∂**2f)/(∂x**2) at (1,1)
The Attempt at a Solution
I already solved for ∂f/∂x and ∂f/∂y for the first part of the problem implicitly, but how to I solve for the second order derivative? I've tried ∂f/∂x * ∂/dx to no avail. All of my other attempts were really just hunches which turned up nothing as well. Thanks for any help.