7. The curve \(C\) has equation
$$y = 2 x ^ { 3 } - 5 x ^ { 2 } - 4 x + 2$$
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Using the result from part (a), find the coordinates of the turning points of \(C\).
- Find \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).
- Hence, or otherwise, determine the nature of the turning points of \(C\).