If an odd function f(x) has a local maximum value at X=c which of the following must be true?

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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If an odd function
f(x)
has a local maximum value at
X=C
which of the following must be true?
Transcribed Image Text:If an odd function f(x) has a local maximum value at X=C which of the following must be true?
which of the following must be true?
f
has a local minimum at
X=-C
f
has a local maximum at
X=-c
f
has a local minimum and ma
um at
X=-c
f'(-c) = 0
f'(c) = 0
Transcribed Image Text:which of the following must be true? f has a local minimum at X=-C f has a local maximum at X=-c f has a local minimum and ma um at X=-c f'(-c) = 0 f'(c) = 0
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