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dy/dx = [a^b - x^x . ln x . x^x ] / [(x/y) . (y^x)^2 . ln y + (y/x) . (x^y)^2 .ln x]
put
u= y^x
use logarithmic differentiation
and dy/dx=du/dx+dv/dx+dw/dx
Take separately each terms and solve it you get the answer.
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