Homework Help is Here – Start Your Trial Now!
Math
Calculus
6. Consider the function f(x)= 2x3 - 6x2 – 18x+22. Use the Second Derivative Test to find the relative extrema, if any, of the function. (Give your answers as ordered pairs.) f' (2) = 6x2 - 12x -18 f'(x)=0

6. Consider the function f(x)= 2x3 - 6x2 – 18x+22. Use the Second Derivative Test to find the relative extrema, if any, of the function. (Give your answers as ordered pairs.) f' (2) = 6x2 - 12x -18 f'(x)=0

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
100%
6. Consider the function f(x)= 2x° –6x² – 18x+22. Use the Second Derivative Test to find the relative extrema, if any, of the function. (Give your answers as ordered pairs.) f' (2) = 6x2 - 12x -18 f'(2): 0 ( 3x +3)(2x-6) - o 3x +3 =0 dx -6-0 I= -1 3 fr (x) = 12x -12 f" (-) = -12- 12= -24 rmax at x= - 24 1"(3) 36 - 12 24 sSo rmin at gH= 24 = ニ t(- 24) = 2(-24)3 -6( -24)2 -18(-24) + 22 = - 27338 f (24) = = 27094 2C 24)% - 6C 24)² - 18 (24)+ 22 (-24, - Relative minimum(s): 24, 27094) 27338) Relative maximum(s):
Transcribed Image Text:6. Consider the function f(x)= 2x° –6x² – 18x+22. Use the Second Derivative Test to find the relative extrema, if any, of the function. (Give your answers as ordered pairs.) f' (2) = 6x2 - 12x -18 f'(2): 0 ( 3x +3)(2x-6) - o 3x +3 =0 dx -6-0 I= -1 3 fr (x) = 12x -12 f" (-) = -12- 12= -24 rmax at x= - 24 1"(3) 36 - 12 24 sSo rmin at gH= 24 = ニ t(- 24) = 2(-24)3 -6( -24)2 -18(-24) + 22 = - 27338 f (24) = = 27094 2C 24)% - 6C 24)² - 18 (24)+ 22 (-24, - Relative minimum(s): 24, 27094) 27338) Relative maximum(s):
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 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