Let f(x) = x - x? on 0, 1]. f(0) f(1) = Find c such that f'(c) = 0 or, if Rolle's Theorem does not apply, enter DNE. 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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Let f(x) = x – x? on [0, 1].
f(0)
f(1) =
Find c such that f'(c) = 0 or, if Rolle's Theorem does not apply, enter DNE.
c =
Transcribed Image Text:Let f(x) = x – x? on [0, 1]. f(0) f(1) = Find c such that f'(c) = 0 or, if Rolle's Theorem does not apply, enter DNE. c =
Consider the function f(x) = 4/T + 6 on the interval [4, 8]. Find the average or mean slope of
the function on this interval.
By the Mean Value Theorem, we know there exists a c in the open interval (4, 8) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works. Find it.
Transcribed Image Text:Consider the function f(x) = 4/T + 6 on the interval [4, 8]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (4, 8) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
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