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Finddy/dx, if y^x+x^y+x^x = a^b...

Find`dy/dx`, if `y^x+x^y+x^x = a^b`

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The correct Answer is:
`(y^2 log y + y. x^(y - 1) + x^y (1 + log x))/(x(y)^(x - 1) + x^(y - 1) log x)`
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