7 The equation of a curve is \(y = 2 + \frac { 3 } { 2 x - 1 }\).
- Obtain an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Explain why the curve has no stationary points.
At the point \(P\) on the curve, \(x = 2\).
- Show that the normal to the curve at \(P\) passes through the origin.
- A point moves along the curve in such a way that its \(x\)-coordinate is decreasing at a constant rate of 0.06 units per second. Find the rate of change of the \(y\)-coordinate as the point passes through \(P\).