Use the derivative to find the exact critical points and intervals of increase and decrease for f(x) = 4x3 - 21x² - 24x+ 5. 1) increasing on x< -3/4, decreasing on x > 1 2) increasing on x > 4, decreasing on x < -1/2 3) increasing on x< -1/2 and x > 4, decreasing on -1/2 < x < 4 4) increasing on x< -6 and x > 6, decreasing on -6 < x< 6

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
Local maximums and minimum values always occur where
1) f'(x) = 0
2) f"(x) < O
3) f"(x) = 0
4) f'(x) = 0 or f'(x) is undefined
Transcribed Image Text:Local maximums and minimum values always occur where 1) f'(x) = 0 2) f"(x) < O 3) f"(x) = 0 4) f'(x) = 0 or f'(x) is undefined
Use the derivative to find the exact critical points and intervals of increase and
decrease for
f(x) = 4x3 - 21x² - 24x+ 5.
1) increasing on x< -3/4,
decreasing on x> 1
2) increasing on x > 4,
decreasing on x < -1/2
3) increasing on x < -1/2 and x > 4,
decreasing on -1/2 < x < 4
4) increasing on x < -6 and x > 6,
decreasing on -6 < x < 6
Transcribed Image Text:Use the derivative to find the exact critical points and intervals of increase and decrease for f(x) = 4x3 - 21x² - 24x+ 5. 1) increasing on x< -3/4, decreasing on x> 1 2) increasing on x > 4, decreasing on x < -1/2 3) increasing on x < -1/2 and x > 4, decreasing on -1/2 < x < 4 4) increasing on x < -6 and x > 6, decreasing on -6 < x < 6
Expert Solution
steps

Step by step

Solved in 3 steps with 1 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