1 A curve is defined for \(x > 0\) by the equation \(y = x + \frac { 2 } { x }\).
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Hence show that the gradient of the curve at the point \(P\) where \(x = 2\) is \(\frac { 1 } { 2 }\).
- Find an equation of the normal to the curve at this point \(P\).