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Use Newton's method to find all solutions of the equation correct to six decimal places.

$ x^3 = \tan^{-1} x $

$-.902025,0,902025$

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 8

Newton's Method

Derivatives

Differentiation

Volume

Oregon State University

University of Nottingham

Idaho State University

Boston College

Lectures

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00:50

The first step of Newton's method is to take the derivative after Prime is gonna be three X squared, minus one over one plus X squared. Now that we have this, we know we have Newton's method formula, which means that if we say exit zeros negative one plug in negative one. We end up with Native 0.91 for exits to night of 0.90 Ex of three negative 0.90 Again, which gives the first rule, is approximate native 0.90 Do the same for the second route. Acts of Wanda's 0.91 bucks of Jews 0.90 exit 3.90 which gives us our two routes as negative 0.90205 25

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