Consider the function f(x) = 2x – 6x² – 48x + 1 on the interval [– 6, 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 ( – 6, 8) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is

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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Consider the function f(x) = 2x – 6x² – 48x + 1 on the interval [- 6, 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 (– 6, 8) such that f'(c) is
equal to this mean slope. For this problem, there are two values of c that work.
The smaller one is
and the larger one is
Transcribed Image Text:Consider the function f(x) = 2x – 6x² – 48x + 1 on the interval [- 6, 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 (– 6, 8) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is
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