Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Use Newton's method with initial approximation $ x_1 = 1 $ to find $ x_2 $, the second approximation to the root of the equation $ x^4 - x - 1 = 0 $. Explain how the method works by first graphing the function and its tangent line at $ (1, -1) $.

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 8

Newton's Method

Derivatives

Differentiation

Volume

Oregon State University

Baylor University

University of Nottingham

Boston College

Lectures

04:35

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

06:14

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

0:00

Use Newton's method w…

03:00

01:41

02:13

00:54

03:03

00:44

00:59

The first thing we can do is differentiate the equation being given toe end up with four X cubed minus one. Now use an equation except to his ex of one minus F of X Juan over f prime of X ones. This is why we different cheated above, which is 4/3 which is 1.33 Therefore, we can graft us to look like this.

View More Answers From This Book

Find Another Textbook

08:35

PROBABILITY QUESTIONS Problem #1 Rolling 2 dice, add up the dots on 2 faces.…

04:59

10.My NotesAsk Your TeacherWhen breeding group animals introduce…

02:52

8 Consider the infinite series7n+1)T Show that the given series is conve…

02:23

5 The function H: R3 R is given by H(x) = xt + Zxz + 3x3 + XXzX3 xi - xZ + 3…

03:04

3 points) Determine whether the given set S is a subspace of the vector spac…

Rewrite the expression by factoring out (u+4).2u? (u-4)+3(u-4)9

03:10

Which of the types of quadric surfaces below may have trace (the intersectio…

01:33

An electric pole was knocked over and is leaning at a 104 degree angle due t…

01:45

Calculate the area ofthe region between the curves f(x) = 2x2 +2x+3 ad g(x) …

Verify that the function is solution of the differential equation on some in…