2 A curve has equation \(x ^ { 2 } + 2 y ^ { 2 } = 4 x\).
- By differentiating implicitly, find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(x\) and \(y\).
[0pt] - Hence find the exact coordinates of the stationary points of the curve. [You need not determine their nature.]