Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

Find the critical numbers of the function. $ h…
11:16

Question

Answered step-by-step

Problem 35 Medium Difficulty

Find the critical numbers of the function.

$ g(y) = \frac{ y - 1}{ y^2 - y + 1} $

Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Amrita Bhasin
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

More Answers

01:45

WZ

Wen Zheng

Related Courses

Calculus 1 / AB

Calculus 2 / BC
Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 1

Maximum and Minimum Values

Related Topics

Derivatives

Differentiation

Volume

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Grace He
Catherine Ross

Missouri State University

Michael Jacobsen

Idaho State University

Joseph Lentino

Boston College

Calculus 2 / BC Courses

Lectures

Video Thumbnail

04:35
Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.
Video Thumbnail

06:14
Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.
Join Course
Recommended Videos

02:01

Find the critical numbers …

00:19

$29-44$ Find the critical …

00:44

Find the critical numbers …

01:53

Find the critical numbers …

05:27

Find the critical numbers …

02:07

Find the critical numbers …

01:21

Find all critical numbers …

01:39

Find the critical points o…

01:27

Find the critical points o…

03:01

Find the critical numbers …

01:33

Find the critical points o…

02:35

Find the critical numbers …

02:11

Find the critical numbers …

Watch More Solved Questions in Chapter 4

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80

Video Transcript

Okay, let's take the derivative using the question rule, which is GF Prime minus half g prime over g squared. In other words, over the denominator squared. We do that. We end up with negative y squared. Plus two. Why? For y squared minus y plus one squared. Simplify this. We end up with negative y squared plus two. Why, doctor? Thus negative y terms. Why mine is too. We end up with two solutions. Weikel zero y equals two.

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
192
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
82
Hosted by: Alonso M
See More

Related Topics

Derivatives

Differentiation

Volume
Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Catherine Ross

Missouri State University

Michael Jacobsen

Idaho State University

Joseph Lentino

Boston College

Calculus 2 / BC Courses

Lectures

Video Thumbnail

04:35
Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.
Video Thumbnail

06:14
Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.
Join Course
Recommended Videos

02:01

Find the critical numbers of the function. $g(\mathrm{y})=\frac{\mathrm{y}-1}{…

00:19

$29-44$ Find the critical numbers of the function. $$g(y)=\frac{y-1}{y^{2}-y+1…

00:44

Find the critical numbers of the function. $ g(t) = t^4 + t^3 + t^2 + 1 $

01:53

Find the critical numbers of the function. $$g(t)=t^{4}+t^{3}+t^{2}+1$$

05:27

Find the critical numbers of the function. $g(\mathrm{x})=\sqrt{1-\mathrm{x}^{…

02:07

Find the critical numbers of the given function. $$ f(x)=(x-2)^{2}(x-1) $$

01:21

Find all critical numbers of the given function. $$ g(x)=x+1 / x $$

01:39

Find the critical points of the functions. $f(x, y)=e^{1+x^{2}-y^{2}}$

01:27

Find the critical points of the functions. $f(x, y)=x^{2}+y^{2}-x y+y$

03:01

Find the critical numbers of the function. $$f(x)=\frac{4 x}{x^{2}+1}$$

01:33

Find the critical points of the functions. $f(x, y)=x^{2}-y^{2}+x y+x-y$

02:35

Find the critical numbers of the given function. $$ f(x)=x^{2}(x+1)^{3} $$

02:11

Find the critical numbers of the given function. $$ f(x)=\frac{x^{2}}{x^{2}+2} …

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started