6 A curve is such that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 3 x ^ { \frac { 1 } { 2 } } - 6\) and the point \(( 9,2 )\) lies on the curve.
- Find the equation of the curve.
- Find the \(x\)-coordinate of the stationary point on the curve and determine the nature of the stationary point.