Solve this following

Question:

If $\mathrm{y}=\sqrt{\mathrm{x}+\sqrt{\mathrm{x}+\sqrt{\mathrm{x}+\ldots \infty}}}$, prove that $\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{1}{(2 \mathrm{y}-1)}$.

Solution:

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