29 Nov 2021
Problem 26d
Page 316
Section 4.7: Newton's Method
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
29 Nov 2021
Given information
Graph 
and its tangent lines at 
and 
Step-by-step explanation
Step 1.
We sketch the curve and its tangent lines at 
and
and its tangent lines at and We see that at 
the tangent line is having more slope then 
or 
and this tangent line intersects 
- axis near the root of the equation.
the tangent line is having more slope then or and this tangent line intersects - axis near the root of the equation.So here is better approximation. If we take 
value near to the root of the equation (where the curve 
intersects 
- axis)
is better approximation. If we take value near to the root of the equation (where the curve intersects - axis)Second approximation will more close to the root.
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