Find more at https://solutionarium.notion.site/1st-and-2nd-Derivative-25b7177903b643cf8e197632e1ca1f57

1st_and_2nd_Derivative.cpp

#include <iostream>
#include <cmath>
using namespace std;

double f(double x){
    return sin(x);
}

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

double centralDerivative (double x, double h){
    double centralDer = (f(x+h) - f(x-h)) / (2*h);
    return centralDer;
}

double secondDerivative (double x, double h){
    double secondDer = (rightDerivative(x+h, h) - rightDerivative(x, h)) / h;
    return secondDer;
}

int main(){
    const double epsilon = 0.01;
    cout << "epsilon = " << epsilon << endl;
    double a, b;
    cout << "a = ";
    cin >> a;
    cout << "b = ";
    cin >> b;
    double length = b - a;
    int step = length/epsilon;
    cout << "segment = " << step << endl;
    double x = a;
    cout << "x" << "\t\t\t\t" << "f(x)" << "\t" << "Правая производная" << "\t" << "Центральная производная" << "\t" << "Вторая производная" << endl;
    for (int i=1; i<step; i++){
        cout << x + i*epsilon << "\t\t" << f(x + i*epsilon) << "\t\t" << rightDerivative(x + i*epsilon, epsilon) << "\t\t\t\t" << centralDerivative(x + i*epsilon, epsilon) << "\t\t\t" << secondDerivative(x + (i-1)*epsilon, epsilon) << endl;
    }

    /*cout << "x = " << x << endl;
    cout << "f(x) = " << f(x) << endl;
    cout << "Правая производная = " << rightDerivative(x, epsilon) << endl;
    cout << "Центральная производная = " << centralDerivative(x, epsilon) << endl;
    cout << "Вторая производная = " << secondDerivative(x, epsilon) << endl;*/
    return 0;
}