Please help I want to know if my code is correct

USING C++

Design and construct a computer program in (C++) that will illustrate the effects of rounding errors and truncation errors. Also, note that the arguments of all trigonometric functions in this course are measured in radians.

The following is a plot of the function f(x) = sin(x³) + x²

In order to illustrate the effects of the two major error sources, rounding and truncation, attempt to determine an approximation to the derivative of f(x) at x = 1.0 radians using the difference approximation given below. (The true answer is 2 + 3 cos(1) or about 3.620906917604419152202810).

Use the formula:

f'(x) (f(x+h) - f(x)) / h

with h=1, 0.5, 0.25, ... 1.8189894035459e-12

(i.e., keep halving h until it is less than 2.0e-12.)

Print out the values of h, your approximation to f'(x), and the error in the approximation for each value of h used. This error will include the effects of both truncation and rounding.

#include

#include

#include

using namespace std;

double f(double x){

return(sin(x*x*x)+(x*x));

}

int main()

{

double x=1;

double h=1;

double ff,ffr=0,fft=0;

ff=(f(x+h)-f(x))/h;

ffr=round(ff);

fft=trunc(ff);

cout<<"h"<<" "<<"f'(x)"<<" "<<"round error approx"<<" "<<"truncation error approx";

cout<<" ";

while(h>=2.0e-12){

h=h/2;

ff=(f(x+h)-f(x))/h;

cout<

ffr=round(ff);

fft=trunc(ff);

}

return 0;

}