Homework Help is Here – Start Your Trial Now!
Math
Calculus
A) At x=-1, y" is negative, concave downward, hence, y (-1) is a relative maximum value. B) At x=3, y" is positive, concave downward, hence, y (3) is a relative minimum value. At x = 3,y" is positive, concave upward, hence, y (3) is a relative maximum value. D At x = -1, y" is negative, concave downward, hence, y (-1) is a relative minimum value.

A) At x=-1, y" is negative, concave downward, hence, y (-1) is a relative maximum value. B) At x=3, y" is positive, concave downward, hence, y (3) is a relative minimum value. At x = 3,y" is positive, concave upward, hence, y (3) is a relative maximum value. D At x = -1, y" is negative, concave downward, hence, y (-1) is a relative minimum value.

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
Question 18 Using second derivative test for the critical points of the curve y = x³ 3x2 - 9x + 20, which of the following statements is true? (A) At x=-1, y" is negative, concave downward, hence, y (-1) is a relative maximum value. B) At x=3, y" is positive, concave downward, hence, y (3) is a relative minimum value. C) Atx=3,y" is positive, concave upward, hence, y (3) is a relative maximum value. D) At x = -1, y" is negative, concave downward, hence, y (-1) is a relative minimum value.
Transcribed Image Text:Question 18 Using second derivative test for the critical points of the curve y = x³ 3x2 - 9x + 20, which of the following statements is true? (A) At x=-1, y" is negative, concave downward, hence, y (-1) is a relative maximum value. B) At x=3, y" is positive, concave downward, hence, y (3) is a relative minimum value. C) Atx=3,y" is positive, concave upward, hence, y (3) is a relative maximum value. D) At x = -1, y" is negative, concave downward, hence, y (-1) is a relative minimum value.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS