Let f be differentiable on the interval (a, b) and f'(x) < 4 for all x € (a, b). Then prove that f has at most one c E (a, b) such that f(c) = 4c.
Let f be differentiable on the interval (a, b) and f'(x) < 4 for all x € (a, b). Then prove that f has at most one c E (a, b) such that f(c) = 4c.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let f be differentiable on the interval (a, b) and f'(x) < 4 for all x € (a, b). Then
= 4c.
prove that f has at most one c E (a, b) such that f(c)
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