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Use Newton's method with initial approximation $ x_1 = 1 $ to find $ x_2 $, the second approximation to the root of the equation $ x^4 - x - 1 = 0 $. Explain how the method works by first graphing the function and its tangent line at $ (1, -1) $.
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Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 8
Newton's Method
Derivatives
Differentiation
Volume
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University of Nottingham
Boston College
Lectures
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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.
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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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The first thing we can do is differentiate the equation being given toe end up with four X cubed minus one. Now use an equation except to his ex of one minus F of X Juan over f prime of X ones. This is why we different cheated above, which is 4/3 which is 1.33 Therefore, we can graft us to look like this.
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