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If x^y = y^x, then dy/dx = ......... A) ...

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

A

`(y(xlog_e y+y))/(x(ylog_e x+x))`

B

`(y(xlog_e y-y))/(x(ylog_ex-x))`

C

`(x(xlog_ey-y))/(y(ylog_ex-x))`

D

`(x(xlog_ey+y))/(y(ylog_ex+x))`.

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