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(b)First Forward, Evaluate the derivative of the given equation (a) Analytical Backward and Central Divided Difference Approximations (c)If the step size is half for (b). (d) For each of the numerical estimates (b) through (c). determine the percent relative error based on (a). y = [sin(0.5√x)/x at x = 1, h = 0.2

(b)First Forward, Evaluate the derivative of the given equation (a) Analytical Backward and Central Divided Difference Approximations (c)If the step size is half for (b). (d) For each of the numerical estimates (b) through (c). determine the percent relative error based on (a). y = [sin(0.5√x)/x at x = 1, h = 0.2

Calculus For The Life Sciences
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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 7CR
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Evaluate the derivative of the given equation (a) Analytical (b)First Forward, Backward and Central Divided Difference Approximations (c)If the step size is half for (b). (d) For each of the numerical estimates (b) through (c). determine the percent relative error based on (a). y = [sin(0.5√x)]/x at x = 1, h = 0.2
Transcribed Image Text:Evaluate the derivative of the given equation (a) Analytical (b)First Forward, Backward and Central Divided Difference Approximations (c)If the step size is half for (b). (d) For each of the numerical estimates (b) through (c). determine the percent relative error based on (a). y = [sin(0.5√x)]/x at x = 1, h = 0.2
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