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)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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