Find the x* that minimizes the function f(x) = (x-2)^4 + 1,| by finding the root of the function's first derivative. Use the method of Newton-Raphson, with initial guess x0 = 0. Output • the values of the function and its first derivative at x = 0, i.e. f(0) and f(0). · the estimate of x* after 2 Newton-Raphson iteration. the estimate of x* after 3 Newton-Raphson iterations. the approximate absolute percent relative error in x* after 3 Newton-Raphson iterations (e.g., for 5% error, output 5.)
Find the x* that minimizes the function f(x) = (x-2)^4 + 1,| by finding the root of the function's first derivative. Use the method of Newton-Raphson, with initial guess x0 = 0. Output • the values of the function and its first derivative at x = 0, i.e. f(0) and f(0). · the estimate of x* after 2 Newton-Raphson iteration. the estimate of x* after 3 Newton-Raphson iterations. the approximate absolute percent relative error in x* after 3 Newton-Raphson iterations (e.g., for 5% error, output 5.)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please follow the instructions and the requirements according to the pictures above and I kinda need the solution quickly. The language of the code is in Matlab, thank you in advance.
Transcribed Image Text:Find the x* that minimizes the function
f(x) = (x-2)^4 + 1,
by finding the root of the function's first derivative. Use the method of Newton-Raphson, with initial guess x0 = 0.
Output:
• the values of the function and its first derivative at x = 0, i.e. f(0) and f(0).
· the estimate of x* after 2 Newton-Raphson iteration.
· the estimate of x* after 3 Newton-Raphson iterations.
· the approximate absolute percent relative error in x* after 3 Newton-Raphson iterations (e.g., for 5% error, output 5.)
![1 function [fe, dfe, x2, x3, e3] = NewtonMinimization()
2 % Input:
3 % None
4 % Output:
5 % fe, dfe: the values of the given function and its 1st derivative at x = 0;
6 % x2: the estimate of minimizer x* after 2 Newton-Raphson iterations.
7 % x3: the estimate of minimizer x* after 3 Newton-Raphson iterations.
8 % e3: the approximate absolute percent relative error in x* after 3 Newton-Raphson iterations (e.g., for 5% error, output 5)
9
10 % Write your code here
11
12
13 end
14](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffaf661c2-e12d-4674-9b42-5f8910350049%2Fa6b27736-c8e0-4c97-9e77-151dc88707fe%2Fjq2e1lo_processed.png&w=3840&q=75)
Transcribed Image Text:1 function [fe, dfe, x2, x3, e3] = NewtonMinimization()
2 % Input:
3 % None
4 % Output:
5 % fe, dfe: the values of the given function and its 1st derivative at x = 0;
6 % x2: the estimate of minimizer x* after 2 Newton-Raphson iterations.
7 % x3: the estimate of minimizer x* after 3 Newton-Raphson iterations.
8 % e3: the approximate absolute percent relative error in x* after 3 Newton-Raphson iterations (e.g., for 5% error, output 5)
9
10 % Write your code here
11
12
13 end
14
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