Question

Please Solve in C programming. Please Use “ f(x) = e^(-x^2) “ for thus question.

Thank You

rite computer code in any programming language or mathematical software to estimate he following derivatives. Then calculate the absolute and relative errors for each: I, f"(1.5) for f(z) in Question 3 above using the three-point formula. Use h 0.5

Answer 1

C Code:

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

double func(double x)
{
   return exp((-1.0) * x * x);
}

main()
{
   double h = 0.5;
   double x = 1.5;
   double double_derivative = (func(x - h) - 2 * func(x) + func(x + h)) / (h*h);
   printf("f''(1.5) = %lf\n", double_derivative);
}

Output:

f''(1.5) = 0.701587