16 The equation of a curve is
\(y = 6 x ^ { 4 } + 8 x ^ { 3 } - 21 x ^ { 2 } + 12 x - 6\).
- In this question you must show detailed reasoning.
Determine
- The coordinates of the stationary points on the curve.
- The nature of the stationary points on the curve.
- The \(x\)-coordinate of the non-stationary point of inflection on the curve.
- On the axes in the Printed Answer Booklet, sketch the curve whose equation is
$$y = 6 x ^ { 4 } + 8 x ^ { 3 } - 21 x ^ { 2 } + 12 x - 6 .$$