Use centered difference approximations to estimate the first and second derivatives of y=ex at x = 3 for h= 0.1. Employ both Oh) and OA) formulas for estimating the results. (Round the final answers to four decimal places.) The first derivative of the function with O(n²)=[ The first derivative of the function with O(n)=[ The second derivative of the function with O(n)=[ The second derivative of the function with O(n)-[ 20.1190 20 0854 2012

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Use centered difference approximations to estimate the first and second derivatives of y=ex at x = 3 for h= 0.1.
Employ both O(n2) and Oh4) formulas for estimating the results. (Round the final answers to four decimal places.)
The first derivative of the function with O(n²)=1
The first derivative of the function with O(n¹)=[
The second derivative of the function with O(n2)=[
The second derivative of the function with O(n)=1
201190
20 0854
•
2012
Transcribed Image Text:Use centered difference approximations to estimate the first and second derivatives of y=ex at x = 3 for h= 0.1. Employ both O(n2) and Oh4) formulas for estimating the results. (Round the final answers to four decimal places.) The first derivative of the function with O(n²)=1 The first derivative of the function with O(n¹)=[ The second derivative of the function with O(n2)=[ The second derivative of the function with O(n)=1 201190 20 0854 • 2012
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