2. Write a program that returns the minimum of a single-variable function g(x) in a giver region [a, b]. Assume that the first-order and second-order derivatives of g(x) are not explicitly given. Test it with a well-known functions, for example, g(x) = x2.

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
Section: Chapter Questions
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Answer number 2 and what will be the python code 

1. Write a program that implements the Newton method to solve f(x) = 0, where both f
and x are vectors. Test the program with fi(x1, x2) = e*i In x2 – xỉ and f2(x1, x2) =
e*2 In x1 – x3.
2. Write a program that returns the minimum of a single-variable function g(x) in a given
region [a, b]. Assume that the first-order and second-order derivatives of g(x) are not
explicitly given. Test it with a well-known functions, for example, g(x) = x2.
Transcribed Image Text:1. Write a program that implements the Newton method to solve f(x) = 0, where both f and x are vectors. Test the program with fi(x1, x2) = e*i In x2 – xỉ and f2(x1, x2) = e*2 In x1 – x3. 2. Write a program that returns the minimum of a single-variable function g(x) in a given region [a, b]. Assume that the first-order and second-order derivatives of g(x) are not explicitly given. Test it with a well-known functions, for example, g(x) = x2.
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