A formula of order 4 for approximating the first derivative of a function f gives: f'(0) 4.50557 for h = 1 f'(0) 2.09702 for h 0.5 %3D By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 1.00177 0.17095 O This option This option 1.93645 0.97318 O This option This option
A formula of order 4 for approximating the first derivative of a function f gives: f'(0) 4.50557 for h = 1 f'(0) 2.09702 for h 0.5 %3D By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 1.00177 0.17095 O This option This option 1.93645 0.97318 O This option This option
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:A formula of order 4 for approximating the first derivative of a function f gives:
f'(0) - 4.50557 for h = 1
f'(0) 2.09702 for h = 0.5
By using Richardson's extrapolation on the above values, a better approximation
of f'(0) is:
1.00177
0.17095
This option
This option
1.93645
0.97318
This option
This option
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

