lease write a Pyhton code for NR iteration solution of the previous function. Implementation of the derivative should be an approximation through limit theorem.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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 fx = 3 - x**3 - x**5 -  2.7183**-x

NR iteration on the addion picture part ı uploaded example

with a precision of 4digits and the inital guess of 2.0000

Please write a Pyhton code for NR iteration solution of the previous function. Implementation of the derivative should be an approximation through limit theorem.

Xo = 5.0000
f (xo)
= 5
f'(xo)
f (5)
= 5
f'(5)
121.272
X1 = X0
= 3.4009
75.8391
f (x1)
= 3.4009
f'(x1)
f(3.4009)
35.0884
X2 = X1
= 3.4009
= 2.3637
f'(3.4009)
33.8305
f(x2)
f'(x2)
f(x3)
f'(x3)
f (2.3637)
f'(2.3637)
f(1.7841)
f'(1.7841)
9.7069
X3 = X2 -
= 2.3637
= 2.3637
= 1.7841
16.7468
1.8859
X4 = X3
= 1.7841
= 1.7841
= 1.6038
10.4596
f(x4)
f'(x4)
f(1.6038)
0.1584
X5 = X4 –
= 1.6038 -
= 1.6038
= 1.5856
f'(1.6038)
8.7145
f (x5)
f'(xs)
f(1.5856)
f'(1.5856)
0.0016
X6 = X5
= 1.5856 -
= 1.5856
= 1.5855
8.5423
Transcribed Image Text:Xo = 5.0000 f (xo) = 5 f'(xo) f (5) = 5 f'(5) 121.272 X1 = X0 = 3.4009 75.8391 f (x1) = 3.4009 f'(x1) f(3.4009) 35.0884 X2 = X1 = 3.4009 = 2.3637 f'(3.4009) 33.8305 f(x2) f'(x2) f(x3) f'(x3) f (2.3637) f'(2.3637) f(1.7841) f'(1.7841) 9.7069 X3 = X2 - = 2.3637 = 2.3637 = 1.7841 16.7468 1.8859 X4 = X3 = 1.7841 = 1.7841 = 1.6038 10.4596 f(x4) f'(x4) f(1.6038) 0.1584 X5 = X4 – = 1.6038 - = 1.6038 = 1.5856 f'(1.6038) 8.7145 f (x5) f'(xs) f(1.5856) f'(1.5856) 0.0016 X6 = X5 = 1.5856 - = 1.5856 = 1.5855 8.5423
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