Compute the derivative of a function

Question

1.11 Arranging the derivative of a function
The derivative of any function f (x) at x0 can be estimated according to the following formula:

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Write a program that prints three columns of numbers: x, f (x) and the derivative f '(x) for some simple functions, e.g. sin (x) or arctan(x).

public static class Derrivative
{
 public static double Compute(Func<double, double> f, double x0, double h)
 {
 return (f(x0+h) - f(x0-h)) / (2*h);
 }
}
class Program
{
 static void Main(string[] args)
 {
 const int N = 10;
 Console.WriteLine("Derivative of sin(x)");
 Func<double, double> function = Math.Sin;
 for (int i = 0; i < N; i++)
 {
 Console.WriteLine($"{i}\t{function(i)}\t{Derrivative.Compute(function, i, 0.5)}");
 }
 Console.WriteLine();
 Console.WriteLine("Derivative of arctan(x)");
 function = Math.Atan;
 for (int i = 0; i < N; i++)
 {
 Console.WriteLine($"{i}\t{function(i)}\t{Derrivative.Compute(function, i, 0.5)}");
 }
 Console.ReadLine();
 }
}

Kindly, review this source code.

Answer 1

Separate the for loop to a function printFunction(f, N)

Since you are using a known formula I suggest you use the names in the formula. Meaning i->x function->f.