# Another Look at $x^{1/x}$

by Norman Schaumberger (Bronx Community College)

This article originally appeared in:
College Mathematics Journal
June, 1984

Subject classification(s): Calculus | Single Variable Calculus
Applicable Course(s): 3.1 Mainstream Calculus I

Using the Arithmetic-Geometric Means Inequality and the Mean Value Theorem to show that the maximum value of $x^{1/x}$ occurs at $x = e$

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Capsule Course Topic(s):
One-Variable Calculus | Calculus Functions