(d) From the following table, find the values of: (i) f'(x) = (ii) f"(x) = at x= 1.2. y 1.0 2.7183 1.2 3.3201 1.4 4.0552 1.6 4.9530 1.8 | 6.0496 2.0 7.3891 2.2 9.0250 (e) Using the table in the above question (d), calculate the first and the second derivatives of the function at x= 2.2 and x= 2.0. () Using the table in question (d), calculate the first and the second derivatives of the function at x= 1.6. (g) Assuming that the function given in (d) above are correct to the accuracy given, estimate the errors in the values of and at x= 1.6.
(d) From the following table, find the values of: (i) f'(x) = (ii) f"(x) = at x= 1.2. y 1.0 2.7183 1.2 3.3201 1.4 4.0552 1.6 4.9530 1.8 | 6.0496 2.0 7.3891 2.2 9.0250 (e) Using the table in the above question (d), calculate the first and the second derivatives of the function at x= 2.2 and x= 2.0. () Using the table in question (d), calculate the first and the second derivatives of the function at x= 1.6. (g) Assuming that the function given in (d) above are correct to the accuracy given, estimate the errors in the values of and at x= 1.6.
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 g
Transcribed Image Text:(d) From the following table, find the values of:
(i) f'(x) =
(ii) f"(x) =
%3D
dx
at x= 1.2.
y
1.0 2.7183
1.2 3.3201
1.4 4.0552
1.6 4.9530
1.8 6.0496
2.0 7.3891
2.2 9.0250
(e) Using the table in the above question (d), calculate the first and the second derivatives of
the function at x= 2.2 and x =
(f) Using the table in question (d), calculate the first and the second derivatives of the function
2.0.
at x= 1.6.
(g) Assuming that the function given in (d) above are correct to the accuracy given, estimate
the errors in the values of and at x=1.6.
dx
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.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,
