tealclam689Lv1
29 Nov 2021
Problem 25
Page 315
Section 4.7: Newton's Method
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
29 Nov 2021
Given information
Newton’s method doesn’t work for finding the root of the equation 
if the initial approximation is chosen to be 
.
Step-by-step explanation
Step 1.
As per question
Let, 
Derivate the above equation with respect to 
, we get:
Consider the formula for Newton's Method:
If 
is taken to be 1, then you get a zero in the denominator on the right hand side.
So, 
For newton method to satisfy 
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 1a
- Problem 1b
- Problem 2
- Problem 3
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 4d
- Problem 4e
- 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 23a
- Problem 23b
- Problem 24a
- Problem 24b
- Problem 25
- Problem 26a
- Problem 26b
- Problem 26c
- Problem 26d
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34