Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f, you must find all x-values for which f '(x) = 0 0 or f '(x) does not exist. does not exist. Step 2 Begin by differentiating the given function with respect to x and factor completely. f "(x) = 5x x3 - 5x(

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
Find the critical numbers of the function.
f(x) = x5 - 5x4
Step 1
To find the critical numbers of f, you must find all x-values for which f '(x) =
0 or f '(x) does not exist.
does not exist.
Step 2
Begin by differentiating the given function with respect to x and factor completely.
f '(x) = 5x
= 5x3(
Transcribed Image Text:Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f, you must find all x-values for which f '(x) = 0 or f '(x) does not exist. does not exist. Step 2 Begin by differentiating the given function with respect to x and factor completely. f '(x) = 5x = 5x3(
Expert Solution
steps

Step by step

Solved in 3 steps with 3 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