10 A curve is such that \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } = \frac { 24 } { x ^ { 3 } } - 4\). The curve has a stationary point at \(P\) where \(x = 2\).
- State, with a reason, the nature of this stationary point.
- Find an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Given that the curve passes through the point \(( 1,13 )\), find the coordinates of the stationary point \(P\).