A function is continuous everywhere. It is known that f"(x) > 0 on the interval (0, 3) and f"(x) <0 on the interval (3, 5). Which of the following conclusions is always true? OI= 3 is the location of the local minimum. O f"(3) = 0. Or= 3 is the location of the local maximum

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
A function is continuous everywhere. It is known that f"(x) > 0 on the interval (0, 3) and f"(x) <0 on the interval (3, 5). Which
of the following conclusions is always true?
O r = 3 is the location of the local minimum.
O f" (3) = 0.
O r = 3 is the location of the local maximum
O r = 3 is a point of inflection.
Transcribed Image Text:A function is continuous everywhere. It is known that f"(x) > 0 on the interval (0, 3) and f"(x) <0 on the interval (3, 5). Which of the following conclusions is always true? O r = 3 is the location of the local minimum. O f" (3) = 0. O r = 3 is the location of the local maximum O r = 3 is a point of inflection.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
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