If y-x-1-x-1-x-1-x- then dy-dx-

The correct option is B dy/dx=y/2y x We have nbsp;y=x+1/x+1/x+1/x+⋯ =x+1/y or y^2=xy+1 or 2ydy/dx=y+xdy/dx+0 [ Differentiating bo ...

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Algebra of Derivatives

If y=x+1/x+...

Question

If $y = x + \frac{1}{x + \frac{1}{x + \frac{1}{x + \dots}}}$ then $\frac{d y}{d x} =$

\frac{d y}{d x} = \frac{x}{2 x - y}

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\frac{d y}{d x} = \frac{y}{2 y - x}

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\frac{d y}{d x} = \frac{2 y}{2 x - y}

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