differentiation

Question: If $y = \sqrt {\log x + \sqrt {\log x + \sqrt {\log x + .....\infty } } } $, then $\frac{{dy}}{{dx}} = $



1) $\frac{x}{{2y - 1}}$
2) $\frac{x}{{2y + 1}}$
3) $\frac{1}{{x(2y - 1)}}$
4) $\frac{1}{{x(1 - 2y)}}$
Solution: Explanation: Explanation
Implicit-function

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