Consider the function f(x) = 4-4x² on the interval [-5, 6]. (A) Find the average or mean slope of the function on this interval, i.e. f(6)-f(-5) 6-(-5) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-5, 6) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Consider the function f(x) = 4-4x² on the interval [-5, 6]. (A) Find the average or mean slope of the function on this interval, i.e. f(6)-f(-5) 6-(-5) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-5, 6) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
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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![-6 Consider the function f(x) = 4 - 4x2 on the interval [-5, 6].
(A) Find the average or mean slope of the function on this interval, i.e.
ƒ(6) – f(-5)
6 - (-5)
(B) By the Mean Value Theorem, we know there exists a c in the open interval (-5, 6) such that f'(c) is equal to this mean slope. For this problem, there is only one c that
works. Find it.
C =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03fb929a-cbd9-4645-8c09-6942d746fc16%2Fde7caea6-d514-40f9-8cc7-2d0041d63446%2F5iy3ipq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:-6 Consider the function f(x) = 4 - 4x2 on the interval [-5, 6].
(A) Find the average or mean slope of the function on this interval, i.e.
ƒ(6) – f(-5)
6 - (-5)
(B) By the Mean Value Theorem, we know there exists a c in the open interval (-5, 6) such that f'(c) is equal to this mean slope. For this problem, there is only one c that
works. Find it.
C =
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