11.
A curve has parametric equations \(x = \frac { 1 } { t } - 1\) and \(y = 2 t + \frac { 1 } { t ^ { 2 } }\).
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(t\), simplifying your answer.
- Find the coordinates of the stationary point and, by considering the gradient of the curve on either side of this point, determine its nature.
- Find a cartesian equation of the curve.
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