If x=1+t22t,y=1+t21−t2, then find dxdy at t=2.

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{If } {x}={{{2}{t}}}{{{1}+{t}^{{{2}}}}},{y}={{{1}-{t}^{{{2}}}}

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$If x = \frac{2 t}{1 + t ^{2}}, y = \frac{1 - t ^{2}}{1 + t ^{2}}, then find \frac{d y}{d x} at t = 2 .$

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If x = \frac{2 t}{1 + t ^{2}}, y = \frac{1 - t ^{2}}{1 + t ^{2}}, then find \frac{d y}{d x} at t = 2 .

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Question Text

If x = \frac{2 t}{1 + t ^{2}}, y = \frac{1 - t ^{2}}{1 + t ^{2}}, then find \frac{d y}{d x} at t = 2 .