The parametric equations of a curve are
$x = 1 + ln\left( {t - 2} \right)$, $y = t + \frac{9}{t}$, for $t \gt 2$.
a) Show that $\frac{{dy}}{{dx}} = \frac{{\left( {{t^2} - 9} \right)\left( {t - 2} \right)}}{{{t^2}}}$.
b) Find the coordinates of the only point on the curve at which the gradient is equal to 0.
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