7 The parametric equations of a curve are
$$x = t + 2 \ln t , \quad y = 2 t - \ln t$$
where \(t\) takes all positive values.
- Express \(\frac { d y } { d x }\) in terms of \(t\).
- Find the equation of the tangent to the curve at the point where \(t = 1\).
- The curve has one stationary point. Show that the \(y\)-coordinate of this point is \(1 + \ln 2\) and determine whether this point is a maximum or a minimum.