- The curve \(C\) has equation
$$y = 3 x ^ { 4 } - 8 x ^ { 3 } - 3$$
- Find (i) \(\frac { \mathrm { d } y } { \mathrm {~d} x }\)
(ii) \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\) - Verify that \(C\) has a stationary point when \(x = 2\)
- Determine the nature of this stationary point, giving a reason for your answer.