the extreme value of x^(1/x) is
Hello,
Let, y=x^(1/x)
Take log on both sides and differentiate on both sides with respect to x.
Then equate, dy/dx=0, and you will get the extreme values of the equation.
You will find that at x=e, the given equation has maximum value, thus you will get e^(1/e) as it's extreme value.