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If y^(x)+x^(y)=a^(b) then find (dy)/(dx)...

If `y^(x)+x^(y)=a^(b)` then find `(dy)/(dx)`

A

`-(yx^(y-1)+y^x logy)/(xy^(x-1) +x^y logx)`

B

`(yx^(y-1)+y^x logy)/(xy^(x-1) +x^y logx)`

C

`-(yx^(y-1)+y^x)/(xy^(x-1)+x^y)`

D

`(yx^(y-1)+y^x)/(xy^(x-1)+x^y)`

Text Solution

Verified by Experts

The correct Answer is:
A
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