If f'(x) exists on both sides of a critical number c, the sign of f'(x) can be used to determine whether the point (c, f(c)) is a local maximum, local minimum, or neither. 1. When f'(x) changes from negative to positive at c then f(c) is [Select] 2. When f'(x) changes from positive to negative at c then f(c) is [Select] 3. When f'(x) does not change sign at c then f(c) is [Select]

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 f'(x) exists on both sides of a critical number c, the sign of f'(x) can be used to
determine whether the point (c, f(c)) is a local maximum, local minimum, or neither.
1. When f'(x) changes from negative to positive at c then f(c) is
[Select]
2. When f'(x) changes from positive to negative at c then f(c) is
[Select]
3. When f'(x) does not change sign at c then f(c) is [Select]
Transcribed Image Text:If f'(x) exists on both sides of a critical number c, the sign of f'(x) can be used to determine whether the point (c, f(c)) is a local maximum, local minimum, or neither. 1. When f'(x) changes from negative to positive at c then f(c) is [Select] 2. When f'(x) changes from positive to negative at c then f(c) is [Select] 3. When f'(x) does not change sign at c then f(c) is [Select]
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