Let f and h be real-valued functions continuous on [a, b], differentiable on (a, b), and h(a) not equal h(b).  Prove c exists in (a, b) so that (f(b)-f(a))h'c=f'(c)(h(b)-h(a))

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 and h be real-valued functions continuous on [a, b], differentiable on (a, b), and h(a) not equal h(b).  Prove c exists in (a, b) so that (f(b)-f(a))h'c=f'(c)(h(b)-h(a))
 
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