Find an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) and hence show that the only stationary point on the curve is the point for which \(x = 0\).
Find an expression for \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\) and hence find the value of \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\) at the stationary point.