A function f(x) and interval a, b] are given. Check if the Mean Value Theorem can be applied to f on a, b]. If so, find all values c in la, b] guaranteed by the Mean Value Theorem Note, if the Mean Value Theorem does not apply, enter DNE for the c value. f(x) = 2x3 – 3x² – 72x + 10 [-6, 8] - - on c = (Separate multiple answers by commas.)
A function f(x) and interval a, b] are given. Check if the Mean Value Theorem can be applied to f on a, b]. If so, find all values c in la, b] guaranteed by the Mean Value Theorem Note, if the Mean Value Theorem does not apply, enter DNE for the c value. f(x) = 2x3 – 3x² – 72x + 10 [-6, 8] - - on c = (Separate multiple answers by commas.)
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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Step 1
Given:
As we know from the Mean value theorem:
If f(x) is real-valued function is defined on [a, b] and
a). is continuous on
b). is differentiable on then there exists at least one point in such that
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