The Mean Value Theorem guarantees that there is a real number N in the interval (0,1) for which f'(N) = f(1) – f(0) if f (x) is continuous on the interval [0,1] and differentiable on the interval (0,1). Find N if f(x) = sin-'(x). %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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The Mean Value Theorem guarantees that there is a real
number N in the interval (0,1) for which f'(N) = f(1) – f(0)
if f (x) is continuous on the interval [0,1] and differentiable on
the interval (0,1). Find N if f(x) = sin-'(x).
%3D
Transcribed Image Text:The Mean Value Theorem guarantees that there is a real number N in the interval (0,1) for which f'(N) = f(1) – f(0) if f (x) is continuous on the interval [0,1] and differentiable on the interval (0,1). Find N if f(x) = sin-'(x). %3D
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