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