what is the derivative of [x^(y)]=[y^(x)]
That is an equation, not a function.
You would have to differentiate both sides implicitly, treating one variable as a function of the other.
Do you want the derivative with repect to x or y?
You would have to differentiate both sides implicitly, treating one variable as a function of the other.
Do you want the derivative with repect to x or y?