Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least one point ce(a,b) such that ƒ' (c) = f(b)-f(a) b-a Rojlle's Theorem Fermat's Theorem Mean Value Theorem

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least
one point ce(a,b) such that f' (c) =
f(b)-f(a)
b-a
O Rojlle's Theorem
Fermat's Theorem
O Mean Value Theorem
Transcribed Image Text:Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least one point ce(a,b) such that f' (c) = f(b)-f(a) b-a O Rojlle's Theorem Fermat's Theorem O Mean Value Theorem
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