5 A curve is defined by the parametric equations
$$x = 2 \tan \theta , \quad y = 3 \sin 2 \theta$$
for \(0 \leqslant \theta < \frac { 1 } { 2 } \pi\).
- Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 6 \cos ^ { 4 } \theta - 3 \cos ^ { 2 } \theta\).
- Find the coordinates of the stationary point.
- Find the gradient of the curve at the point \(\left( 2 \sqrt { } 3 , \frac { 3 } { 2 } \sqrt { } 3 \right)\).