6 A curve is such that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \mathrm { e } ^ { 2 x } - 2 \mathrm { e } ^ { - x }\). The point \(( 0,1 )\) lies on the curve.
- Find the equation of the curve.
- The curve has one stationary point. Find the \(x\)-coordinate of this point and determine whether it is a maximum or a minimum point.