Problem

Find an equation of the tangent line to the curve…

06:34

Problem 35 Easy Difficulty

Find an equation of the tangent line to the curve at the given point.
$ y = x + \frac{2}{x} , (2,3) $

Answer

$$y-3=\frac{1}{2}(x-2) \text { or } y=\frac{1}{2} x+2$$

More Answers

01:19

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

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Video Transcript

he has Claire's suing you. Read here. So we're first gonna find our slope, That is. Do you? Why? Over DX for access equal to a This is equal to when we plug it in X plus two x to the negative one. Power for access equal to two. And this gives 1/2 the line equation is why minus three is equal to one Have X minus two. So we have why is equal to one have X plus two.

Clarissa N.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor