The Mean Value Theorem for derivative states that if a function f is continuous on [a, b] and differentiable on (a,b), then there exist a number c in (a,b) such that f(b) – f(a) f (c) = b-a Find all number c that satisfy the theorem. f(x) = x + 2x [0,2]

The Mean Value Theorem for derivative states that if a function f is continuous on [a, b] and differentiable on (a,b), then there exist a number c in (a,b) such that f(b) – f(a) f (c) = b-a Find all number c that satisfy the theorem. f(x) = x + 2x [0,2]

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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The Mean Value Theorem for derivative states that if a function f is continuous on
[a, b] and differentiable on (a,b), then there exist a number c in (a,b) such that
f(b)– f(a)
f (c) =
b-a
Find all number c that satisfy the theorem.
f(x) = x + 2x
[0,2]

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