4. Using the Forward Divided Difference Method, manually solve for the approximate value of the first derivative f(xi) at x₁ = 0.5 of the given function, the absolute relative true error, &t, and absolute relative approximate error, Ea, using step sizes Ax = 0.5 and Ax= 0.25. Use five (5) decimal places in evaluating the first derivative of the function and computing for the errors. Results will be compared later to the results in Excel Worksheet. f(x) = 5x³-cos(2x)

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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4. Using the Forward Divided Difference Method, manually solve for the approximate
value of the first derivative f'(x₁) at x₁ = 0.5 of the given function, the absolute relative true
error, &t, and absolute relative approximate error, &a, using step sizes Ax = 0.5 and Ax =
0.25. Use five (5) decimal places in evaluating the first derivative of the function and
computing for the errors. Results will be compared later to the results in Excel Worksheet.
f(x) = 5x³ - cos(2x)
Transcribed Image Text:4. Using the Forward Divided Difference Method, manually solve for the approximate value of the first derivative f'(x₁) at x₁ = 0.5 of the given function, the absolute relative true error, &t, and absolute relative approximate error, &a, using step sizes Ax = 0.5 and Ax = 0.25. Use five (5) decimal places in evaluating the first derivative of the function and computing for the errors. Results will be compared later to the results in Excel Worksheet. f(x) = 5x³ - cos(2x)
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