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If x^ydoty^x=1,p rov et h a t(dy)/(dx)=-...

If `x^ydoty^x=1,p rov et h a t(dy)/(dx)=-(y(y+xlogy)/(x(ylogx+x)`

A

`(y(y+x log y))/(x(ylogx +x))`

B

`(y(x+y logx))/(x(y + xlogy))`

C

`-y/x(y+x logy)/(x+y logx)`

D

`-y/x(x+ylogx)/(y+x logy)`

Text Solution

Verified by Experts

The correct Answer is:
C
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