Consider the function ƒ(x) = 5x³ – 4x on the interval [−5, 5]. (a) The slope of the secant line joining (−5, ƒ(−5)) and (5, ƒ(5)) is m = 247 (b) Since the conditions of the Mean Value Theorem hold true, there exists at least one c on (-5,5) such that f'(c) = (c) Find c. c =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 44E
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Homework 07: Problem 11
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Consider the function ƒ(x) = 5x³ — 4x on the interval [-5, 5].
(a) The slope of the secant line joining (-5, ƒ(−5)) and (5, ƒ(5)) is m = 247
(b) Since the conditions of the Mean Value Theorem hold true, there exists at least one c on (-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:Homework 07: Problem 11 Previous Problem Problem List Next Problem Consider the function ƒ(x) = 5x³ — 4x on the interval [-5, 5]. (a) The slope of the secant line joining (-5, ƒ(−5)) and (5, ƒ(5)) is m = 247 (b) Since the conditions of the Mean Value Theorem hold true, there exists at least one c on (-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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