Given the following function: f(x) = x+ sin(x) at TU Xo = using h = 0.1. 4 A. Use the Forward-Difference Formula to find the approximation for f'(xo)? B. Using the Three-Point Formula find the approximation of the first derivative f'(xo)? C. Use the Five-Point Formula to find the approximation for f'(xo)?

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...
Question
QUESTION 1:
Given the following function:
TU
f(x) = x+ sin(x) at
=
хо
using h = 0.1.
4
A. Use the Forward-Difference Formula to find the approximation for f'(xo)?
B. Using the Three-Point Formula find the approximation of the first derivative f'(xo)?
C. Use the Five-Point Formula to find the approximation for f'(xo)?
D. Using the Second Derivative Formula find the approximation of the second derivative f"(xo)?
Transcribed Image Text:QUESTION 1: Given the following function: TU f(x) = x+ sin(x) at = хо using h = 0.1. 4 A. Use the Forward-Difference Formula to find the approximation for f'(xo)? B. Using the Three-Point Formula find the approximation of the first derivative f'(xo)? C. Use the Five-Point Formula to find the approximation for f'(xo)? D. Using the Second Derivative Formula find the approximation of the second derivative f"(xo)?
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