Problem

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

00:55

Problem 16 Easy Difficulty

Use Newton's method to approximate the indicated root of the equation correct to six decimal places.

The positive root of $ 3\sin x = x $

Answer

2.278863

Topics

Derivatives

Differentiation

Volume

Book Cover for Calculus: Early Tra…

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

Grace H.

Anna Marie V.

Campbell University

Samuel H.

University of Nottingham

Joseph L.

Boston College

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

In order to perform Newton's method, we need to have the derivative, which is gonna be one minus three coast Xanax. We can estimate x one to be 2.1. So initial approximation, therefore, X to repeating the process 2.1. Let us off with 2.1 over Russell F Prime of 2.1. This is 2.29 now x three. Using Newton's method again, it's gonna be 2.27 Axe four was gonna be 2.27 x five is gonna be 2.27 Therefore, axe is gonna be 2.27 a 63 with all the decimals that we can, right?

Amrita B.

Topics

Derivatives

Differentiation

Volume

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 8

Newton's Method

Top Calculus 2 / BC Educators

Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Samuel H.

University of Nottingham

Joseph L.

Boston College