Verify that the given function satisfies the hypothesis of the Mean Value Theorem on the given interval. Then find all c that satisfy the theorem. x+2 f(x) = [1,4] %3D
Verify that the given function satisfies the hypothesis of the Mean Value Theorem on the given interval. Then find all c that satisfy the theorem. x+2 f(x) = [1,4] %3D
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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![1.
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'(c) =
f(b) – f(a)
%3D
b-a
Verify that the given function satisfies the hypothesis of the Mean Value Theorem
on the given interval. Then find all c that satisfy the theorem.
x+ 2
f(x) =
[1,4]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F748f2532-009f-4e02-a603-5ed568ce3840%2F8841005f-4bfe-4d3e-9a26-df061b0a0123%2Fjzgpeiq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
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'(c) =
f(b) – f(a)
%3D
b-a
Verify that the given function satisfies the hypothesis of the Mean Value Theorem
on the given interval. Then find all c that satisfy the theorem.
x+ 2
f(x) =
[1,4]
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