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The AM-GM Inequality via \(x^{1/x}\)

by Norman Schaumberger (Bronx Community College)

This article originally appeared in:
College Mathematics Journal
September, 1989

Subject classification(s): Algebra and Number Theory | Algebra | Functions | Calculus
Applicable Course(s): 3.2 Mainstream Calculus II | 4.1 Introduction to Proofs | 4.11 Advanced Calc I, II, & Real Analysis

A quick proof of the arithmetic-geometric mean inequality using properties of the function \(x^{1/x}\)

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Capsule Course Topic(s):
One-Variable Calculus | Differentiation: General Applications
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