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Find (dy)/(dx) of x^y+y^x=a^b...

Find `(dy)/(dx)` of `x^y+y^x=a^b`

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The correct Answer is:
`-[(yx^(y-1) + y^(x) log u + x^(x) (1+ log x))/(x^(y) log x + xy ^(x-1))]`
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