Problem

Use Newton's method to find all the solutions of …

06:08

Problem 26 Medium Difficulty

Use Newton's method to find all the solutions of the equation correct to eight decimal places. Start by drawing a graph to find initial approximations.

$ \cos (x^2 - x) = x^4 $

Answer

$x=1,-0.73485910$

Topics

Derivatives

Differentiation

Volume

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 8

Newton's Method

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Watch More Solved Questions in Chapter 4

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Video Transcript

question 26. We are giving the luncheon co sign X squared minus X equals X to the Ford. So I'm gonna bring it all to one side sign Next. Weird minus minus. X to the four equals zero. I'm gonna take the derivative my nine equals Negative sign, Chain role X where minus X That's meeting times derivative of my inside Who? X minus one. And then I'm gonna take the drew tickle next to the fore, kids or thanks you now hiding things up just a little bit. I, uh Negative. Ricks Minus one sign X weird minus x minus. For home use. Newton's actually end plus one. He goes x to the n minus f of X over a crime s So that's when you get me extra n minus my function in green minus co sign X squared minus X minus X to the fore and my derivative, it should be read, and that's a negative. Do X minus one sign X squared minus x minus or excuse. All of that was in my graphing calculator. Give me a two routes. Have a room at one and an approximate room at 10.7. So I'm gonna start with Exit one is approximately negative. 10.7. When I put that in to my ass when X equals negative 0.7, my rules Negative points. Seven, three Hey, bye. A war 354 What I put that in for my ex My y equals approximately negative 0.73 Or be six, 274 And when I put that in my ex and ask why my fourth generation is negative. 0.7 34 eight by 910 which is also by exit pied. So I have equals one and my fourth and considerations of negative 0.7348510

Sherrie F.

University of Houston