10 The equation of a curve is \(y = \frac { 1 } { 6 } ( 2 x - 3 ) ^ { 3 } - 4 x\).
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Find the equation of the tangent to the curve at the point where the curve intersects the \(y\)-axis.
- Find the set of values of \(x\) for which \(\frac { 1 } { 6 } ( 2 x - 3 ) ^ { 3 } - 4 x\) is an increasing function of \(x\).