3 The parametric equations of a curve are
$$x = 3 t + \ln ( t - 1 ) , \quad y = t ^ { 2 } + 1 , \quad \text { for } t > 1$$
- Express \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(t\).
- Find the coordinates of the only point on the curve at which the gradient of the curve is equal to 1 .