Let zo be a local minimum point of a function f: R+R. Its true that: 20 a) f is differentiable at no ⇒ f' (no) = 0 b) o isn't a removable discontinuity point c) for all EB, f(x) = f(no) d) there exists >0 such that, for all xE (20, 20+ ε), F(2) > f (20)

Let zo be a local minimum point of a function f: R+R. Its true that: 20 a) f is differentiable at no ⇒ f' (no) = 0 b) o isn't a removable discontinuity point c) for all EB, f(x) = f(no) d) there exists >0 such that, for all xE (20, 20+ ε), F(2) > f (20)

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.

Chapter9: Multivariable Calculus

Section9.3: Maxima And Minima

Problem 2E

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Question

Let zo be a local minimum point of a function f: R+R. Its true that:
20
a) f is differentiable at no ⇒ f' (no) = 0
b) o isn't a removable discontinuity point
c) for all EB, f(x) = f(no)
d) there exists >0 such that, for all xE (20, 20+ ε), F(2) > f (20)

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