newton raphson method

///Bismillahir Rahmanir Rahim

///Author:Tanvir Ahmmad
///CSE,Islamic University,Bangladesh

#include<iostream>
using namespace std;

double fun_1(double num)
{
    return ((num*num)-(4*num)-7);
}

double deri_fun_1(double num)
{
    return ((2*num)-4);
}

int main()
{
    char ch = 253;
    double num,brk_limit;
    int step,cas=1;
    cout<<"Given equation : "<<"X"<<ch<<"-4X-7"<<endl;
    cout<<"       f(x)=X"<<ch<<"-4X-7"<<endl;
    cout<<"      f'(x)=2X-4"<<endl;
    cout<<"Please enter an inter initial guess : ";
    while(1)
    {
        cin>>num;
        if(num>5) cout<<"Please enter a lower number : ";
        else if(num==5)
        {
            cout<<"You picked a right number.Let x0="<<num<<endl;
            break;
        }
        else cout<<"Please enter a upper number : ";

    }
    cout<<"Please enter minimum number of step if you want to do : ";
    cin>>step;
    int j=step;
    cout<<"Please enter a break down limit : ";
    cin>>brk_limit;

    while(step--)
    {
        num=(num-(fun_1(num)/deri_fun_1(num)));
        cout<<"X"<<cas++<<" : "<<num<<endl;
        if(abs(fun_1(num))<=brk_limit)
        {
            cout<<"Answer of "<<"X"<<ch<<"-4X-7 using The Newton-Raphson Method : "<<num<<endl;
            break;
        }
    }

    if(step==(-1))
        cout<<"Answer of "<<"X"<<ch<<"-4X-7 after "<<j<<" step using The Newton-Raphson Method : "<<num<<endl;
    return 0;
}



///Alhamdulillah

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