The Mean Value Theorem states that if f is continuous on the closed interval [a, b] and differentiable on (a, b), then there is at least one point c in (a, b) such that f(b) - f(a) b - a 2 [A] [B] 1 [C] // 2 √3 = f'(c). Find the number c that satisfies the conclusion of the Mean Value Theorem for f(x) = x³ + x - 1 on the interval [0,2]. [D] [E]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
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The Mean Value Theorem states that if f is continuous on the closed interval [a, b] and
differentiable on (a, b), then there is at least one point c in (a, b) such that
[A] [B] 1
f(b) f(a)
b - a
Find the number c that satisfies the conclusion of the Mean Value Theorem for
f(x) = x³ + x - 1 on the interval [0,2].
3
2
[C] /7/3
[D] /=/3
1|5
= f'(c).
[E]
Transcribed Image Text:The Mean Value Theorem states that if f is continuous on the closed interval [a, b] and differentiable on (a, b), then there is at least one point c in (a, b) such that [A] [B] 1 f(b) f(a) b - a Find the number c that satisfies the conclusion of the Mean Value Theorem for f(x) = x³ + x - 1 on the interval [0,2]. 3 2 [C] /7/3 [D] /=/3 1|5 = f'(c). [E]
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