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Newton's_method.cpp

#include <iostream>
#include <math.h>
using namespace std;

double f(double x){
    return log(x) - 5;
}

double rightDerivative (double x, double h){
    double rightDer = (f(x+h) - f(x))/h;
    return rightDer;
}

double NewtonsMethod(double x0, double epsilon){
    double x1;
    for (int j=0; ; j++){
        x1 = x0 - ( f(x0) / rightDerivative(x0, 0.000001) );
        if (fabs(x1 - x0) > epsilon){
            x0 = x1;
        }
        else {
            return x1;
        }
    }
}

int main(){
    double x0;
    double eps = 0.000001;
    cout << "Нулевое приближение: ";
    cin >> x0;
    double result = NewtonsMethod(x0, eps);
    cout << result;
    return 0;
}