Find in each of the following:

x5 + y5 = 5xy

We are given with an equation x5 + y5 = 5xy, we have to find of it, so by differentiating the equation on both sides with respect to x, we get,


5x4 + 5y4 = 5[y(1) + x]


[y4 – x] = y – x4



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