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Solved: What are the hypotheses and conclusion of Rolle’s

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass ISBN: 9780321884077 57

Solution for problem 4QGY Chapter 4

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 4QGY

What are the hypotheses and conclusion of Rolle’s Theorem? Are the hypotheses really necessary? Explain.

Step-by-Step Solution:

Step 1:

In this question, we have to state  the hypotheses and conclusion of Rolle’s Theorem. And determine whether they are really necessary.

Step 2:

Rolle’s theorem states that if  is continuous and differentiable in the closed interval , then there exist a point  in  such that .

Step 3 of 3

Chapter 4, Problem 4QGY is Solved
Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

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Solved: What are the hypotheses and conclusion of Rolle’s

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