4 A curve has equation \(y = \frac { 12 } { 3 - 2 x }\).
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
A point moves along this curve. As the point passes through \(A\), the \(x\)-coordinate is increasing at a rate of 0.15 units per second and the \(y\)-coordinate is increasing at a rate of 0.4 units per second.
- Find the possible \(x\)-coordinates of \(A\).