Use the Newton-Raphson following polynomial: f(x)=e* - x = 0 Now we need to evaluate f'(x)=-e-1 f(x)= exp(-x)-x 0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 0.2 method to find a root of the Newton Raphson Formulation f (x₂) f'(x₁) Xin Xi 0.4 M 99 0.8 =Xi e -X -e-*i -1

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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Use the Newton-Raphson
following polynomial:
f(x)=e* − x = 0
Now we need to evaluate
f'(x)=-e* - 1
x-(x-)dx= (x)
0.8
0.6
0.4
0.2
0
-0.2
-0.4
-0.6
-0.8
0.2
method to find a root of the
Newton Raphson Formulation
f (x₁)
ƒ'(x;)
Xi+1 = Xi
0.4
0.6
0.8
= X i
e
-Xi
-e
-Xi
-X
-
1
Transcribed Image Text:Use the Newton-Raphson following polynomial: f(x)=e* − x = 0 Now we need to evaluate f'(x)=-e* - 1 x-(x-)dx= (x) 0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 0.2 method to find a root of the Newton Raphson Formulation f (x₁) ƒ'(x;) Xi+1 = Xi 0.4 0.6 0.8 = X i e -Xi -e -Xi -X - 1
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