Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an explanation or a counterexample. If f: (a,b)-R is differentiable at C E (a,b) and f'(c) #0, then there is a 6> 0 so that f(x) + f(c) for all x E (C-5,c + 5). For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an explanation or a counterexample. If f: (a,b)-R is differentiable at C E (a,b) and f'(c) #0, then there is a 6> 0 so that f(x) + f(c) for all x E (C-5,c + 5). For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
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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Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an explanation or a counterexample.
If f: (a,b)→ R is differentiable at CE (a,b) and f' (c) #0, then there is a 5>0 so that f(x) + f(c) for all x € (C-5,c + 5).
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
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Transcribed Image Text:Question 12
Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an explanation or a counterexample.
If f: (a,b)→ R is differentiable at CE (a,b) and f' (c) #0, then there is a 5>0 so that f(x) + f(c) for all x € (C-5,c + 5).
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
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