Suppose that is a function which is continuous and differentiable. Given that f'(x) ≤ 5 for all x in [2, 3] and that f(2)= 3 what is the biggest that f(3) can be?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Suppose that is a function which is continuous and differentiable. Given that f'(x) ≤ 5 for all x in [2, 3]
and that f(2)= 3 what is the biggest that f(3) can be?
Transcribed Image Text:Suppose that is a function which is continuous and differentiable. Given that f'(x) ≤ 5 for all x in [2, 3] and that f(2)= 3 what is the biggest that f(3) can be?
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