1 The curve with equation \(y = 13 + 18 x + 3 x ^ { 2 } - 4 x ^ { 3 }\) passes through the point \(P\) where \(x = - 1\).
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Show that the point \(P\) is a stationary point of the curve and find the other value of \(x\) where the curve has a stationary point.
- Find the value of \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\) at the point \(P\).
- Hence, or otherwise, determine whether \(P\) is a maximum point or a minimum point.
(l mark)