Suppose that d is a critical number of a continuous function f. Which of the following is not unfalse? (a) If f' changes from positive to negative at d, then f has a local maximum at d. (b) If f' changes from negative to positive at d, then f has a local minimum at d. (c) If f' changes from negative to positive at d, then f has a local maximum at d. (d) If f' does not change sign at d, then f has no local minimum or maximum at d. A b B с) d a

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...
icon
Related questions
Question
Question 6
Suppose that d is a critical number of a continuous function f. Which of the following is not unfalse?
...
(a) If f' changes from positive to negative at d, then f has a local maximum at d.
(b) If f' changes from negative to positive at d, then f has a local minimum at d.
(c) If f' changes from negative to positive at d, then f has a local maximum at d.
(d) If f' does not change sign at d, then f has no local minimum or maximum at d.
A) b
(B
В) с
d
(D
a
Transcribed Image Text:Question 6 Suppose that d is a critical number of a continuous function f. Which of the following is not unfalse? ... (a) If f' changes from positive to negative at d, then f has a local maximum at d. (b) If f' changes from negative to positive at d, then f has a local minimum at d. (c) If f' changes from negative to positive at d, then f has a local maximum at d. (d) If f' does not change sign at d, then f has no local minimum or maximum at d. A) b (B В) с d (D a
Expert Solution
steps

Step by step

Solved in 6 steps with 7 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning