3. The curve \(C\) has the equation \(y = 2 \mathrm { e } ^ { x } - 6 \ln x\) and passes through the point \(P\) with \(x\)-coordinate 1.
- Find an equation for the tangent to \(C\) at \(P\).
The tangent to \(C\) at \(P\) meets the coordinate axes at the points \(Q\) and \(R\).
- Show that the area of triangle \(O Q R\), where \(O\) is the origin, is \(\frac { 9 } { 3 - \mathrm { e } }\).