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In this C program we will find the root of equation using Newton Raphson Method. The equation is: 2x^3-6x^2+6x-1 The allowed error is: 0.001 Introduction: Introduction:From NewtonRaphson Method we know, Xn+1=Xn-[f(x)/f'(x)]. Here we consider three functions one to generate the given equation, other to generate the derivative of the given equation. And the other to find out the root of the equation by using Newton Raphson Method. For this here we passes two values given by the users. input: a and b, two arbitrary values will be given by the user. output: The root of the equation. CODE----> // c program for implementation of newton raphson method to solve this equation: 2x^3-6x^2+6x-1 #include<stdio.h> #include<math.h> //function for the given equation float fun ( float x ) { return ( 2 *( pow ( x , 3 ))- 6 *( pow ( x , 2 ))+ 6 * x - 1 ); } //function for the derivative of given function that is 6x^2-12x+6 float

Q. Do we have to use int in C language even if we dont have any integers in our program? Ans: No, we don't have to use any integer variable in a C program which doesn't require any integer(s) in the program. Even if we just declare them (integers) the 2 byte memory will be blocked somewhere in the memory (Primary Memory) which creates memory wastage. So, it is better to avoid using integers if it is not required in a C program. In the other hand, if you are talking about making the main function integer type, then, the answer will be still NO . You can make the main function integer type (i.e.: int main ) but it is not necessary. Note: if you have made the main function integer type, do not forget the return 0; statement at the last.