3 The parametric equations of a curve are
$$x = t + \ln ( t + 2 ) , \quad y = ( t - 1 ) \mathrm { e } ^ { - 2 t }$$
where \(t > - 2\).
- Express \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(t\), simplifying your answer.
- Find the exact \(y\)-coordinate of the stationary point of the curve.