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Problem

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

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Problem 61 Easy Difficulty

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

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


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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

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Watch More Solved Questions in Chapter 4

Problem 1
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Problem 7
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Problem 10
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Problem 13
Problem 15
Problem 16
Problem 17
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Problem 19
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Problem 26
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Problem 28
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Problem 32
Problem 33
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Problem 35
Problem 36
Problem 37
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Problem 39
Problem 40
Problem 41
Problem 42
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Problem 44
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Problem 46
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Problem 55
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Problem 58
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Problem 60
Problem 61
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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

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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.

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