6 A curve has equation \(y = \mathrm { e } ^ { 2 x } \left( x ^ { 2 } - 4 x - 2 \right)\).
- Find the value of the \(x\)-coordinate of each of the stationary points of the curve.
- Find \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).
- Determine the nature of each of the stationary points of the curve.