2 The surface \(S\) has equation \(z = x ^ { 2 } y - 8 x y ^ { 2 } + \frac { x } { y }\) for \(y \neq 0\).
- (a) Find the following.
- \(\frac { \partial z } { \partial x }\)
- \(\frac { \partial z } { \partial y }\)
(b) Find the coordinates of all stationary points of \(S\). - Find all four second partial derivatives of \(z\) with respect to \(x\) and/or \(y\).