: Assume f (a, b)→ R is differentiable at some point c E (a, b). Prove that if f'(c) 0, then there crists some > 0, such that f(x) + f(c) for all x (c-8,c+8).
: Assume f (a, b)→ R is differentiable at some point c E (a, b). Prove that if f'(c) 0, then there crists some > 0, such that f(x) + f(c) for all x (c-8,c+8).
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:Assume f(a, b) → R is differentiable at some point c = (a, b). Prove that if
f'(c) 0, then there exists some > 0, such that f(x) + f(c) for all x € (c-d, c+d).
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