Using the Forward Divided Difference Method, manually solve for the approximate value of the first derivative f’(xi) at xi = 0.5 of the given function, the absolute relative true error, εt, and absolute relative approximate error, εa, using step sizes ∆x = 0.5 and ∆x = 0.25. Use five (5) decimal places in evaluating the first derivative of the function and computing for the errors. f(x) = 5x3 - cos(2x)

Using the Forward Divided Difference Method, manually solve for the approximate value of the first derivative f’(xi) at xi = 0.5 of the given function, the absolute relative true error, εt, and absolute relative approximate error, εa, using step sizes ∆x = 0.5 and ∆x = 0.25. Use five (5) decimal places in evaluating the first derivative of the function and computing for the errors. f(x) = 5x3 - cos(2x)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

See similar textbooks

Similar questions

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Use Richardson extrapolation to estimate the first derivative of y = cos x at x = π/ 4 using step sizesof h1 = π/ 3 and h2 = π/ 6. Employ centered differences of O(h2) for the initial estimates.
What is the numerical approximation of the derivative of the function f(x) = x^3 - 2x + 1 at x = 2 using the forward difference formula with a step size of h = 0.1?
Approximate the derivative of the function f(x) = 2x^3 - 5x^2 + 3x - 1 at x = 2 using the forward difference formula with a step size of h = 0.1.
What is the approximate value of the derivative of the function f(x) = 2x^3 - 5x^2 + 3x at x = 1, using a forward difference approximation with a step size of h = 0.1?