20 Let no be a local minimum point of a function f: BB. It's true that: a) there exist ε>0 such that, for all x€ (20 - ε, 2+ε), f(x) > f (x). b) there exist ε>0 such that, for all x€ (20 - ε, 2+ε), f(x) = f (xo) c) f is continuous at xo d) f' (20) = 0 f'(x) e) for all xER, f(x) = f(20)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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20
Let no be a local minimum point of a function f: BB. It's true that:
a) there exist ε>0 such that, for all x€ (20 - ε, 2+ε), f(x) > f (x).
b) there exist ε>0 such that, for all x€ (20 - ε, 2+ε), f(x) = f (xo)
c) f is continuous at xo
d) f' (20) = 0
f'(x)
e) for all xER, f(x) = f(20)
Transcribed Image Text:20 Let no be a local minimum point of a function f: BB. It's true that: a) there exist ε>0 such that, for all x€ (20 - ε, 2+ε), f(x) > f (x). b) there exist ε>0 such that, for all x€ (20 - ε, 2+ε), f(x) = f (xo) c) f is continuous at xo d) f' (20) = 0 f'(x) e) for all xER, f(x) = f(20)
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