Find extreme values of x^x
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.