If \( \sqrt{y+x}+\sqrt{y-x}=c \), show that \( \frac{d y}{d x}=\frac{y}{x}-\sqrt{\frac{y^{2}}{x^...

Описание

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