Consider the function f(z) = 3 ze|-2,0] IE-2,0) 2r +3 Divide the domain into 9 evenly spaced points and determine at each point (where possible): (a) The first derivative using forward differences
Consider the function f(z) = 3 ze|-2,0] IE-2,0) 2r +3 Divide the domain into 9 evenly spaced points and determine at each point (where possible): (a) The first derivative using forward differences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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![4. Consider the function
1
f(x) = r € [-2,0]
rE (-2,0]
2x +3
Divide the domain into 9 evenly spaced points and determine at each point (where possible):
(a) The first derivative using forward differences
(b) The first derivative using central differences
(c) The second derivative using central differences
(d) The third derivative using central differences
(e) The analytical value of the derivatives; compare these with the approximations of (a)-(d).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4806b864-3966-4998-886b-55bf4214c0f2%2Fa4e0d9a2-aaa6-45b0-8962-eb21b77c81ff%2Flyeocys_processed.png&w=3840&q=75)
Transcribed Image Text:4. Consider the function
1
f(x) = r € [-2,0]
rE (-2,0]
2x +3
Divide the domain into 9 evenly spaced points and determine at each point (where possible):
(a) The first derivative using forward differences
(b) The first derivative using central differences
(c) The second derivative using central differences
(d) The third derivative using central differences
(e) The analytical value of the derivatives; compare these with the approximations of (a)-(d).
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