Find extreme values of x^x

asked by guest
on Dec 08, 2023 at 2:44 am

You asked:

Find the extreme values of \({x}^{x}\)

MathBot Answer:

\(x^{x}\) has a local minimum \(e^{- \frac{1}{e}} \approx 0.6922 \) at \(x = e^{-1}\).


\(x^{x}\) has no local maxima.


\(x^{x}\) has a global minimum \(e^{- \frac{1}{e}} \approx 0.6922 \) at \(x = e^{-1}\).


\(x^{x}\) has no global maxima.

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