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ganesha1991 (1496)

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Olaaa!! Perrrfect answer. 264  [352 rates]

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taking los to the base e both the sides

logx^y =log[ e^(x-y)]
y logx = x-y
differentiatintg both sides

dy/dxlogx+ Y/x = 1 - dy/dx
dy.dx ( logx+1) = 1-y/x
= [ 1-y/x] / logx+1
but ylogx =x-y
y ( logx+1) = x
y = x / (logx+1)

so dy/dx = [ 1- x / (logx+1)x ] / (logx+1)
= logx +1 -1 / (logx+1)^2
= logx / (logx+1)^2
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