If \( y \sqrt{1-x^{2}}+x \sqrt{1-y^{2}}=1 \), prove that \( \frac{d y}{d x}=-\sqrt{\frac{1-y^{2}...
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0If \( y \sqrt{1-x^{2}}+x \sqrt{1-y^{2}}=1 \), prove that \( \frac{d y}{d x}=-\sqrt{\frac{1-y^{2}}{1-x^{2}}} \).
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