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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 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).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
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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). BIUS Paragraph Open Sans.sa
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). BIUS Paragraph Open Sans.sa
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