17. Let f(x) = (x - 3)-2. Show that there is no value of c in (1, 4) such that f(4) - f(1) f'(c)(4 - 1). Why does this not contradict the Mean Value Theorem?
17. Let f(x) = (x - 3)-2. Show that there is no value of c in (1, 4) such that f(4) - f(1) f'(c)(4 - 1). Why does this not contradict the Mean Value Theorem?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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