7 The equation of a curve is \(y = \frac { 12 } { x ^ { 2 } + 3 }\).
- Obtain an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Find the equation of the normal to the curve at the point \(P ( 1,3 )\).
- A point is moving along the curve in such a way that the \(x\)-coordinate is increasing at a constant rate of 0.012 units per second. Find the rate of change of the \(y\)-coordinate as the point passes through \(P\).