1.

If \[y=\sqrt{\log x+\sqrt{\log x+\sqrt{\log x+.....\infty }}}\], then \[\frac{dy}{dx}=\]

A.            \[\frac{x}{2y-1}\]
B.            \[\frac{x}{2y+1}\]
C.            \[\frac{1}{x(2y-1)}\]
D.            \[\frac{1}{x(1-2y)}\]
Answer» D.            \[\frac{1}{x(1-2y)}\]


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