- A curve \(C\) has equation
$$y = x ^ { 2 } - 2 x - 24 \sqrt { x } , \quad x > 0$$
- 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 \(x = 4\)
- Determine the nature of this stationary point, giving a reason for your answer.