Find \( \frac{d y}{d x} \), if \( x \) and \( y \) are connected pa...

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Find \( \frac{d y}{d x} \), if \( x \) and \( y \) are connected parametrically by the equations, given below without eliminating the parameter.
\[
x=\frac{1-t^{2}}{1+t^{2}}, y=\frac{2 t}{1+t^{2}} .
\]
\( \mathrm{P} \)
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