Consider the function f(x) = 2x³ - 5x on the closed interval [-4, -2]. Find the exact value of the slope of the secant line connecting (-4, ƒ(−4)) and (−2, ƒ(−2)). m = By the Mean Value Theorem, there exists c in (-4,-2) so that m = = f'(c). Find all values of such c in (-4,-2). Enter exact values. If there is more than one solution, separate them by a comma. C=

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7.

Consider the function f(x) =
=
2x³ – 5x on the closed interval [−4, –2].
Find the exact value of the slope of the secant line connecting (−4, ƒ(−4)) and (−2, ƒ(−2)).
m =
By the Mean Value Theorem, there exists c in (-4, −2) so that m = f'(c). Find all values of such c in
(–4, −2). Enter exact values. If there is more than one solution, separate them by a comma.
C =
Transcribed Image Text:Consider the function f(x) = = 2x³ – 5x on the closed interval [−4, –2]. Find the exact value of the slope of the secant line connecting (−4, ƒ(−4)) and (−2, ƒ(−2)). m = By the Mean Value Theorem, there exists c in (-4, −2) so that m = f'(c). Find all values of such c in (–4, −2). Enter exact values. If there is more than one solution, separate them by a comma. C =
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