/* Derivative of a quadratic function (10 points)

   Problem Statement:
		
   Write a complete C program that prints the derivative 
   of a second order polynomial function (i.e., quadratic function).
       
   The program must do the following:
		* ask the user to enter the three polynomial coefficients 
		* print the original polynomial funciton
		* print the derivative of the funciton
		
   For example, if the user enters 5, 4, 3
   The program must print: 
		 f (x) =  4x^2 + 5*x + 3
         f'(x) =  8x + 5
   
   More generally: a*x*x + b*x +c => 2*a*x + b
   
   You can assume that a, b, and c are positive integers.
		
 */ 

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

int main(void)
{
    
    int a, b, c;
	int da, db;
    
    printf("This program calculates the derivative of a quadratic function\n"); 
	printf("of the form f(x)= ax^2 + bx + c.\n\n");
	
	printf("Please enter a, b, and c: ");
    scanf("%d %d %d", &a, &b, &c);
    
    da = a * 2;
    db = b;
    
    printf("\nThe derivative of f(x)= %dx^2 + %dx + %d is ", a, b, c); 
	printf(" f'(x) = %dx + %d \n\n", da, db);
    
    system("pause");
}