10 A curve has equation \(y = x ^ { 3 } - 6 x ^ { 2 } + 12\).
- Use calculus to find the coordinates of the turning points of this curve. Determine also the nature of these turning points.
- Find, in the form \(y = m x + c\), the equation of the normal to the curve at the point \(( 2 , - 4 )\).