- The curve \(C\) has equation
$$y = ( 3 x - 2 ) ^ { 6 }$$
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\)
Given that the point \(P \left( \frac { 1 } { 3 } , 1 \right)\) lies on \(C\),
- find the equation of the normal to \(C\) at \(P\). Write your answer in the form \(a x + b y + c = 0\) where \(a , b\) and \(c\) are integers to be found.