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Another Look at \(x^{1/x}\)

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

Old Node ID: 
744
Author(s): 
Norman Schaumberger (Bronx Community College)
Publication Date: 
Wednesday, August 3, 2005
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
June, 1984
Subject(s): 
Calculus
Single Variable Calculus
Topic(s): 
Calculus Functions
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
Rating Count: 
21.00
Rating Sum: 
63.00
Rating Average: 
3.00
Author (old format): 
Norman Schaumberger
Applicable Course(s): 
3.1 Mainstream Calculus I
Modify Date: 
Wednesday, August 15, 2012
Average: 3 (21 votes)

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