A formula of order 4 for approximating the first derivative of a function f gives: f'(0) = 1.0982 for h = 1 f'(0) z 1.0078 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 1.00177 This option 1.93645 This option

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
icon
Related questions
Question
A formula of order 4 for approximating the first derivative of a function f gives:
f'(0) = 1.0982 for h = 1
f'(0) z 1.0078 for h = 0.5
By using Richardson's extrapolation on the above values, a better approximation
of f'(0) is:
1.00177
This option
1.93645
This option
Transcribed Image Text:A formula of order 4 for approximating the first derivative of a function f gives: f'(0) = 1.0982 for h = 1 f'(0) z 1.0078 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 1.00177 This option 1.93645 This option
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning