Problem

Find an equation of the slant asymptote. Do not s…

01:41

Problem 61 Easy Difficulty

Find an equation of the slant asymptote. Do not sketch the curve.

$ y = \dfrac{x^2 + 1}{x + 1} $

Answer

see solution

Topics

Derivatives

Differentiation

Volume

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 5

Summary of Curve Sketching

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Grace H.

Anna Marie V.

Campbell University

Samuel H.

University of Nottingham

Michael J.

Idaho State University

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

All right. So we're gonna do polynomial division to find our slant as in tow. So here, um X into X Squared X. And now we're gonna multiply X by each term. But make sure that we switch the sign so that the first term cancels out. So minus X squared minus eggs. Okay. And we're left with minus X plus one. And now because this canceled up, and now we're going to see X into negative X, and that's minus one. So now multiply a negative one by each term. But then switch the sign when we're down here. So that's plus X and plus one. So we're left with remainder two. But the important part is the quotient. So why equals X minus one is our slant as into

Jamie M.

Topics

Derivatives

Differentiation

Volume

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 5

Summary of Curve Sketching

Top Calculus 2 / BC Educators

Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Samuel H.

University of Nottingham

Michael J.

Idaho State University