8 A curve has equation \(y = 3 x ^ { 3 } - 7 x + \frac { 2 } { x }\).
- Verify that the curve has a stationary point when \(x = 1\).
- Determine the nature of this stationary point.
- The tangent to the curve at this stationary point meets the \(y\)-axis at the point \(Q\). Find the coordinates of \(Q\).