Find the value of x for which y is minimum using Newton's forward formula then find the minimum value of y. 4 f(x) 3 11 27
Find the value of x for which y is minimum using Newton's forward formula then find the minimum value of y. 4 f(x) 3 11 27
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q2//
Find the value of x for which y is minimum using Newton's forward formula
then find the minimum value of y.
4
f(x)
3
3
11
27
1 Add file
Expert Solution
Step 1
To find the minimum value of the function using Newton's forward interpolation formula for the function , first, find the forward difference.
Then using the Newton interpolating formula find the equation and differentiate it with respect to p where .
It is known that when y is minimum then . Solve the equation and find the value of p.
Then substitute p in and find the values of x.
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