Consider the function f(x) = 2x³ – 2x on the interval [-5, 5]. (a) The slope of the secant line joining (−5, ƒ(−5)) and (5, ƒ(5)) is m = (b) Since the conditions of the Mean Value Theorem hold true, there exists at least one con (-5,5) such that f'(c) = (c) Find c. C = Note: If there is more than one answer, separate them with a comma.

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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Consider the function f(x) = 2x³ – 2x on the interval [-5, 5].
(a) The slope of the secant line joining (−5, ƒ(−5)) and (5, ƒ(5)) is m =
(b) Since the conditions of the Mean Value Theorem hold true, there exists at least one
con (-5,5) such that f'(c) =
(c) Find c.
C =
Note: If there is more than one answer, separate them with a comma.
Transcribed Image Text:Consider the function f(x) = 2x³ – 2x on the interval [-5, 5]. (a) The slope of the secant line joining (−5, ƒ(−5)) and (5, ƒ(5)) is m = (b) Since the conditions of the Mean Value Theorem hold true, there exists at least one con (-5,5) such that f'(c) = (c) Find c. C = Note: If there is more than one answer, separate them with a comma.
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