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If xloge(logex)-x^2+y^2=4 then ((dy)/(dx...

If `xlog_e(log_ex)-x^2+y^2=4` then `((dy)/(dx))_(atx=e)` is equal to (A) `(2e+1)/ sqrt(4+e^2)` (B) `e/(2sqrt(4+e^2))` (C) `(2e+1)/(2(4+e^2))` (D) `(2e-1)/(2sqrt(4+e^2))`

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