If x= ^ -1 (e^t ), y= 1-e^ 2 t , show that x+d y d x =0 - Vidyadip

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If $x=\sin ^{-1}\left(e^t\right), y=\sqrt{1-e^{2 t}}$, show that $\sin x+\frac{d y}{d x}=0$

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