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There is a function defined via a parameter t (>0):t\,(>0):t(>0):
{y=t2+1tx=t−2t2.\cases{\begin{aligned} & y=t^2+\dfrac{1}{t} \\\\ & x=t-\dfrac{2}{t^2}. \end{aligned}}⎩⎪⎪⎪⎪⎨⎪⎪⎪⎪⎧y=t2+t1x=t−t22.
Find dxdy\frac{dx}{dy}dydx at t=1.t=1.t=1.
This problem is a part of <Christmas Streak 2017> series.
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