use newtons method for this calculus equation  show all steps f(x)=x3+2x+1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 4E
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use newtons method for this calculus equation 

show all steps

f(x)=x3+2x+1

Expert Solution
Step 1

Given f(x) =x3+2x+1. We use Newtons Method to find a real approximate root of f(x).

From Newtons Method we get,

               xn+1=xn-f(xn)f'(xn)         ...........(1)

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