1. Let r be a rational number with r > 1 and set f (x) = (1+x)" – (1+rx), for x > -1. Show that 0 is a critical point for f and show that f(0) = 0 is the absolute minimum value.
1. Let r be a rational number with r > 1 and set f (x) = (1+x)" – (1+rx), for x > -1. Show that 0 is a critical point for f and show that f(0) = 0 is the absolute minimum value.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Transcribed Image Text:1.
Let r be a rational number with r > 1 and set
f(x) = (1+x)" – (1+rx),
-
for x > -1. Show that 0 is a critical point for f and show that f(0) = 0 is the
absolute minimum value.
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