The curve $C$ has equation

$$y = \frac { x ( x + 1 ) } { ( x - 1 ) ^ { 2 } }$$

(i) Obtain the equations of the asymptotes of $C$.\\
(ii) Show that there is exactly one point of intersection of $C$ with the asymptotes and find its coordinates.\\
(iii) Find $\frac { \mathrm { d } y } { \mathrm {~d} x }$ and hence\\
(a) find the coordinates of any stationary points of $C$,\\
(b) state the set of values of $x$ for which the gradient of $C$ is negative.\\
(iv) Draw a sketch of $C$.

\hfill \mbox{\textit{CAIE FP1 2010 Q11 OR}}