If y= sqrt (log x + sqrt (log x + sqrt (...

If `y= sqrt (log x + sqrt (log x + sqrt (log x + .......oo)))`, then `dy/dx` =....... A) `frac{1}{2y-1}` B) `frac {1}{x(2y-1)}` C) `frac {1}{2xy}` D) `frac {1}{x(y-1)}`

A

`frac{1}{2y-1}`

B

`frac {1}{x(2y-1)}`

C

`frac {1}{2xy}`

D

`frac {1}{x(y-1)}`

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