At the x value which is closest to 44, calculate the derivative of f(x) using a suitable second order accurate finite difference method with a) h = 25, b) a different step size. (You should use the same finite difference method in (a) and (b)). Using the values you calculated at parts (a) and (b) apply Richardson extrapolation to improve your calculation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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At the x value which is closest to 44, calculate the derivative of f(x) using a suitable second order accurate finite difference method with a) h = 25, b) a different step size. (You should use the same finite difference method in (a) and (b)).

Using the values you calculated at parts (a) and (b) apply Richardson
extrapolation to improve your calculation.

Consider the data given below:
-50
-25
25
50
75
100
125
F(x)
-39
-20
round(44/10)
32
5+4/5
67
79
83
At the x value which is closest to 44, calculate the derivative of f(x) using a suitable second order
accurate finite difference method with
a) h = 25, b) a different step size. (You should use the same finite
difference method in (a) and (b)).
Using the values you calculated at parts (a) and (b) apply Richardson extrapolation to improve your
calculation.
Transcribed Image Text:Consider the data given below: -50 -25 25 50 75 100 125 F(x) -39 -20 round(44/10) 32 5+4/5 67 79 83 At the x value which is closest to 44, calculate the derivative of f(x) using a suitable second order accurate finite difference method with a) h = 25, b) a different step size. (You should use the same finite difference method in (a) and (b)). Using the values you calculated at parts (a) and (b) apply Richardson extrapolation to improve your calculation.
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