Answer the questions for the function f(x) = 3x - 24x³ C УР f'(x) = 12x - 72xX f''(x) = 36x²-144x Enter f(x), f'(x), and f''(x) into your grapher to examine the table. 20 & b. Set f'(x)=0 to find the critical numbers. One of the critical numbers of f(x) is x = 0. What is the other critical nu x = 6 What is true about f(x) at this positive critical number? Select the correct oice below and, if necessary, fill in the cessil urchas *** A. The graph of f is concave down and f has a relative minimum at OB. The graph of f is concave up and f has a relative minimum at (.). OC. The graph of f is concave down and f has a relative maximum at(1). OD. The graph of f is concave up and f has a relative maximum at DE Almannalainn nan ha mada

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

Please provide Handwritten answer 

Answer the questions for the function f(x) = 3x4-24x³
C
УР
f'(x) = 12x - 72xX
f''(x) = 36x²-144x
Enter f(x), f'(x), and f''(x) into your grapher to examine the table.
20 &
b. Set f'(x)=0 to find the critical numbers. One of the critical numbers of f(x) is x = 0. What is the other critical nu
x = 6
What is true about f(x) at this positive critical number? Select the correct oice below and, if necessary, fill in the
cessil
urchas
***
A. The graph of f is concave down and f has a relative minimum at
OB. The graph of f is concave up and f has a relative minimum at (.).
OC. The graph of f is concave down and f has a relative maximum at (.).
OD. The graph of f is concave up and f has a relative maximum at (.).
DE Almannalainn nan ha mada
Transcribed Image Text:Answer the questions for the function f(x) = 3x4-24x³ C УР f'(x) = 12x - 72xX f''(x) = 36x²-144x Enter f(x), f'(x), and f''(x) into your grapher to examine the table. 20 & b. Set f'(x)=0 to find the critical numbers. One of the critical numbers of f(x) is x = 0. What is the other critical nu x = 6 What is true about f(x) at this positive critical number? Select the correct oice below and, if necessary, fill in the cessil urchas *** A. The graph of f is concave down and f has a relative minimum at OB. The graph of f is concave up and f has a relative minimum at (.). OC. The graph of f is concave down and f has a relative maximum at (.). OD. The graph of f is concave up and f has a relative maximum at (.). DE Almannalainn nan ha mada
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

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