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Use Newton's method to find all roots of the equation correct to six decimal places.$x^{4}=1+x$

$x=-0.724491$ and $x=1.220744$

Calculus 1 / AB

Chapter 3

Derivatives

Section 8

Linear Approximations and Taylor Polynomials

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Lectures

04:40

In mathematics, a derivati…

30:01

In mathematics, the deriva…

02:35

Use Newton's method t…

01:48

01:32

03:54

00:57

06:48

01:36

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05:52

11:02

For the following exercise…

06:31

Finding all roots Use Newt…

00:53

03:09

08:32

06:33

01:21

03:38

05:31

in this struggle. Where s to use their back on me? I know the routes up, given a question. So let's start with oh, flooding these two functions so well, No, Rex, look, something like this. And one plus excuse World War like this. So as you can see there, too, it's a sections were sincere. Affection is about X point. A gun. Second section is about nature. One or two Soling Courtesy question is stalling or function. We're gonna define the function of what I've been inside. A physical one over X minus 116 Q. Remember, we also need to their return for Nathan's meant to solace. Find Director that would be electable over expert with this three x squared and it does not inside, I guess, for the next route would be period previous route minus the functional in the previous route divided by the previous route. Now we're gonna have to potential guests. I want to You're in for it now. We're gonna plug negative. All point to four exam here and now we're gonna talk with the function and the narrative. When X is next one way, find the second guess to be negative Well, according to 21006 And if people like this and you find 1/3 person mission for guests to be, they will point to you're seven or four. And it looked like this, and we actually find that for the fluctuations. About same. 1/3 impersonations on this is one of our roots. Now be, um, look at the positive side, be of another route. So we're gonna ate in here, and then we're gonna build a function of directive one export day. So we find the second guess on the positive side to be 0.724767 and a proper explanation to be 0.7 to 4 for nine to an actual repent for tax breaks. Approximation to bail about the same of 3rd 1 And that is 10.72 4492 and start second.

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