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?Finding an Equation of a Tangent Line In Exercises 67–74, (a) find an equation of the tangent line to the graph of f at the given point, (b) use a gra

Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson ISBN: 9781285774770 141

Solution for problem 70 Chapter 3.3

Calculus: Early Transcendental Functions | 6th Edition

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Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson

Calculus: Early Transcendental Functions | 6th Edition

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Problem 70

Finding an Equation of a Tangent Line In Exercises 67–74, (a) find an equation of the tangent line to the graph of f at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the derivative feature of a graphing utility to confirm your results.

/(f(x)=\frac{x+3}{x-3}, \quad(4,7)\)

 

Text Transcription:

f(x)= x+3/x-3, (4,7)

Step-by-Step Solution:

Step 1 of 5) These equalities tell us that y dx + x dy + 4 dz is exact, so y dx + x dy + 4 dz = dƒ for some function ƒ, and the integral’s value is ƒ(2, 3, -1) - ƒ(1, 1, 1). We find ƒ up to a constant by integrating the equations

Step 2 of 2

Chapter 3.3, Problem 70 is Solved
Textbook: Calculus: Early Transcendental Functions
Edition: 6
Author: Ron Larson
ISBN: 9781285774770

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?Finding an Equation of a Tangent Line In Exercises 67–74, (a) find an equation of the tangent line to the graph of f at the given point, (b) use a gra