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

In the theory of relativity, the mass of a partic…

02:55

Question

Answered step-by-step

Problem 54 Hard Difficulty

Use the guidelines of this section to sketch the curve.

$ y = \tan^{-1} \left(\dfrac{x - 1}{x + 1}\right) $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Jamie M
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Jamie M

Numerade Educator

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

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 5

Summary of Curve Sketching

Related Topics

Derivatives

Differentiation

Volume

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

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

01:30

Use the guidelines of this…

16:30

Use the guidelines of this…

01:39

Use the guidelines of this…

01:09

Use the guidelines of this…

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 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

Video Transcript

the domain for this function is ex cannot be won. That cannot be negative One Sorry. Um, the intercepts are 10 and zero negative pi over four. There's no symmetry. And for Assam toads, we can look at the limit as X approaches infinity over function Inverse tangent. Oh, X minus one over X post one And that's able to pile before. And we realized that if we do, the limit is X approaches. Negative infinity. It's also pirate before so the s into, um, in either direction tells her the damn. So as X approaches plus or minus infinity, we see that Why hasn't as in tow pi over four. And remember, this is hordes on horizontal asking too. And now we can look at our first derivative to look for increasing in decreasing intervals to see if we have a Miramax so live prime. And here we can just to change rule you sub. My prime is one over x squared, plus more set that equal to zero to find a political points is inconclusive. So we can't use the first river the test. But we can look for why double prime, which is negative two x over X squared twist one that's all squared, Um, said that equal to zero, and we see that we have X equals zero. All right, so now our second derivative test for Kong cavity. Let's look at zero. Anything smaller than zero is gonna be Khan gave up. Anything bigger is gonna become cave down. Remember, we're plugging into our second derivative. So whoever con cavity, another king graph with the information we have. So we know the ex cannot be negative one for the doing. We're gonna keep that in mind. All right, So let's say this is pie, and this is negative play. We haven't intercept at 10 Don't say it's about here. And zero negative pi over four. So let's say this is pie over to Nick department for somewhere right here. This is just roast kitsch, okay? And now we know that we have all we have in us until y equals pi over four. So I'm right about you, Or is that a lesson too, at why includes prior before? And now we know that it's gonna be Kong Cabo. This is an inflection point, cause it's a sign change. So is he is going to be calm, keep up. And then calling came down. But first it started on the side. So we know that our graph is going to approach negative infinity in the exes as actually purchase Negative. Infinity wise gonna go to pi over four. So it's gonna look like So I'm gonna go into pie before this line here is gonna approach, but never touch. Let's see what happens when you get close here. All right, so we know that it's going to never be negative one. So let's say this is negative one. Let's say you're right here with negative one so it can come over here, but never touch negative one. And I'm assuming it's gonna be a little higher because, um, the closer it gets, the more negative the X values get is gonna be, uh, closer to the ass in tow, and the further away is gonna be a little higher. So it's a little higher, and over here, I know that it's gonna be also the same thing. Cannot be negative one, but it's gonna be concave up if it's smaller than zero. But I'm assuming is like that. And then if it's greater than zero is gonna be calling Kate down, so it's gonna be cockeyed down. So this is a reflection 0.0 negative pie before it's gonna become came down Hit the axis, keep being concave down and approach but never touched our ass and took

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
63
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
42
Hosted by: Alonso M
See More

Related Topics

Derivatives

Differentiation

Volume

Top Calculus 2 / BC Educators
Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

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

01:30

Use the guidelines of this section to sketch the curve. $y=\tan ^{-1}\left(\fr…

16:30

Use the guidelines of this section to sketch the curve. $ y = 1 + \frac{1}{x…

01:39

Use the guidelines of this section to sketch the curve. $ y = 1/(1 + e^{-x})…

01:09

Use the guidelines of this section to sketch the curve. $y=\sec x+\tan x, \qua…
Additional Mathematics Questions

03:53

'news article estimated that only 5% of those age 65 and older who pref…

02:48

'factory produces computer chips with a 0.9% defect rate. In a batch of…

06:08

'A weather forecaster predicts that the May rainfall in a local area wi…

01:47

'A sample of 40 observations is selected from one population with popul…

05:54

'point) Express the point given in Cartesian coordinates in spherical c…

04:26

'According to the Center for Disease Control (CDC), about in 88 childre…

04:55

'labor dispute has arisen concerning the distribution of 20 labors to f…

04:55

'labor dispute has arisen concerning the distribution of 20 labors to f…

04:11

'PROBLEM 9 / Question 13 (2 points): An auto insurance company wants to…

02:08

'NUMERATION SYSTEMS Counting In bases greater than ten
(a) Write the…

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