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are you tired of the a^b vs b^a questions?

Here's a very common question that asks to compare a^b vs. b^a. We will use the calculus derivative of the function f(x)=x^(1/x) to find its maximum. It's a great practice for calculus 1 students. This video is inspired by my old video e^pi vs. pi^e:    • e^pi vs pi^e (no calculator)   For more calculus tutorials, check out my new channel "just calculus":    / justcalculus   💪 Support this channel,   / blackpenredpen   #calculus #blackpenredpen #mathteacher