7. For the curve \(C\) with equation \(y = x ^ { 4 } - 8 x ^ { 2 } + 3\),
- find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\),
The point \(A\), on the curve \(C\), has \(x\)-coordinate 1 .
- Find an equation for the normal to \(C\) at \(A\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.