2.3x 1. Approximate the first derivative of f(x) = 5e².³x at x = 1.25 using a step size of Ax = the following methods: a. Forward Divided Difference (FDD) b. Backward Divided Difference (BDD) c. Central Divided Difference (CDD) d. Use analytic method to find f'(1.25) and compare the errors. Which method had the best approximation? Approximation Method First Derivative ValueError(%) FDD BDD CDD 2. Use the same conditions in #1 to find f"(1.25). Approximation Method Second Derivative Value Error(%) FDD = 0.2 using BDD
2.3x 1. Approximate the first derivative of f(x) = 5e².³x at x = 1.25 using a step size of Ax = the following methods: a. Forward Divided Difference (FDD) b. Backward Divided Difference (BDD) c. Central Divided Difference (CDD) d. Use analytic method to find f'(1.25) and compare the errors. Which method had the best approximation? Approximation Method First Derivative ValueError(%) FDD BDD CDD 2. Use the same conditions in #1 to find f"(1.25). Approximation Method Second Derivative Value Error(%) FDD = 0.2 using BDD
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
answer number 2 clearly with step by step solution. thank you!
Transcribed Image Text:2.3x
=
1. Approximate the first derivative of f(x) = 5e2³x at x = 1.25 using a step size of Ax
the following methods:
a. Forward Divided Difference (FDD)
b. Backward Divided Difference (BDD)
C. Central Divided Difference (CDD)
d. Use analytic method to find f'(1.25) and compare the errors. Which method had the best
approximation?
Approximation Method | First Derivative Value | Error(%)
FDD
BDD
CDD
2. Use the same conditions in #1 to find f"(1.25).
Approximation Method Second Derivative Value Error(%)
FDD
BDD
0.2 using
CDD
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 4 steps with 4 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,
