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this is what i get
dy/dx = ((y/x)-ln(y))÷((x/y)-ln(x))
this is how i did it
y^x = x^y
ln(y^x) = ln(x^y)
x*ln(y) = y*ln(x)
use product rule and differentiate sides using implicit differentiation and solve for dy/dx and you get the answer at the top.
I might be wrong so please check my work.
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