Hey I'm trying to write a program to carry out newtons method and find the roots of the equation exp(-x)-(x^2)+3. It works in so far as finding the root, but I also want it to print out the root after each iteration but I can't get it to work, Could anyone point out my mistake I think its something to do with my indexing?

Thanks a million :)

#include <stdio.h>
#include <math.h>
#include <malloc.h>

//Define Functions:
double evalf(double x)
{
        double answer=exp(-x)-(x*x)+3;
        return(answer);
}
double evalfprime(double x)
{
        double answer=-exp(-x)-2*x;
        return(answer);
}
double *newton(double initialrt,double accuracy,double *data)
{
        double root[102];
        data=root;
        int maxit = 0;
        root[0] = initialrt;
        for (int i=1;i<102;i++)
        {
                *(data+i)=*(data+i-1)-evalf(*(data+i-1))/evalfprime(*(data+i-1));
                if(fabs(*(data+i)-*(data+i-1))<accuracy)
                {
                        maxit=i;
                        break;
                }
                maxit=i;
        }

        if((maxit+1==102)&&(fabs(*(data+maxit)-*(data+maxit-1))>accuracy))
        {
                printf("\nMax iteration reached, method terminated");
        }      
        else
        {
                printf("\nMethod successful");
                printf("\nNumber of iterations: %d\nRoot Estimate: %lf\n",maxit+1,*(data+maxit));
        }

        return(data);
}




int main()
{
    double root,accuracy;
    double *data=(double*)malloc(sizeof(double)*102);

    printf("NEWTONS METHOD PROGRAMME:\nEquation: f(x)=exp(-x)-x^2+3=0\nMax No iterations=100\n\nEnter initial root estimate\n>> ");
    scanf("%lf",&root);
    _flushall();
    printf("\nEnter accuracy required:\n>>");
    scanf("%lf",&accuracy);
    *data= *newton(root,accuracy,data);
    printf("Iteration        Root           Error\n ");
    printf("%d          %lf             \n", 0,*(data));
    for(int i=1;i<102;i++)
    {
        printf("%d             %5.5lf           %5.5lf\n", i,*(data+i),*(data+i)-*(data+i-1));
        if(*(data+i*sizeof(double))-*(data+i*sizeof(double)-1)==0)
        {
            break;
        }
    }
    getchar();
    getchar();
    free(data);
    return(0);
}