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If x^y+y^x= (x+y)^(x+y), then prove that...

If `x^y+y^x= (x+y)^(x+y)`, then prove that` dy/dx= ((x+y)^(x+y) [1+log(x+y)]-yx^(y-1)-y^xlogy)/(x^ylogx+xy^(x-1) -(x+y)^(x+y) [1+log(x+y)] `

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