Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Derivative Test. (d) Sketch a graph of y = f (x) based on your findings in parts (a) - (c). (e) Indicate any absolute maximum or minimum values that exist for this function f.

Derivative Test. (d) Sketch a graph of y = f (x) based on your findings in parts (a) - (c). (e) Indicate any absolute maximum or minimum values that exist for this function f.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
See similar textbooks
icon
Related questions
Question

NEED HELP WITH PART E AND D, PLEASE.

1. Let f(x)= 3x² - 4x³ - 12x². (a) Find all critical numbers for the function f. (b) Determine all those intervals on which the graph of f is increasing and all those on which it is decreasing by analyzing the sign of the derivative function. (c) Find and classify all of the relative extreme values/points by applying the First Derivative Test. (d) Sketch a graph of y = f (x) based on your findings in parts (a) - (c). (e) Indicate any absolute maximum or minimum values that exist for this function f.
Transcribed Image Text:1. Let f(x)= 3x² - 4x³ - 12x². (a) Find all critical numbers for the function f. (b) Determine all those intervals on which the graph of f is increasing and all those on which it is decreasing by analyzing the sign of the derivative function. (c) Find and classify all of the relative extreme values/points by applying the First Derivative Test. (d) Sketch a graph of y = f (x) based on your findings in parts (a) - (c). (e) Indicate any absolute maximum or minimum values that exist for this function f.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS