Mathc initiation/Fichiers c : c76ch

Installer et compiler ces fichiers dans votre répertoire de travail.

	`c01f.c`

/* --------------------------------- */
/* save as c1h.c                     */
/* --------------------------------- */
#include "x_hfile.h"
#include      "fh.h"
/* --------------------------------- */
int main(void)
{
double c  = 1;

 clrscrn();
 printf("  f : x-> %s\n\n" 
        " Df : x-> %s\n\n\n", feq, Dfeq);

 printf("  Compute the derivative of f when x = %0.3f\n\n", c);   
  
 printf("  with   Df(%0.3f) = %0.8f    \n",c, Df(c));
 printf("  with fx_x(%0.3f) = %0.8f\n\n\n",c, fx_x(f,c,H));
 stop();

 return 0;
}
/* ---------------------------------- */
/* ---------------------------------- */

Calculons la dérivé :

  f : x-> sec(x)

 Df : x-> tan(x)*sec(x)


  Compute the derivative of f when x = 1.000

  with   Df(1.000) = 2.88247470    
  with fx_x(1.000) = 2.88247479


 Press return to continue.

Calculons la dérivé :

        y =   sech(x)                                       
        
        y =   1/cosh(x)
        
        y'= ( 1/cosh(x) )'
        
        
        y'=    -sinh(x)
              ----------
               cosh(x)**2
                 
        y'=   -sinh(x)     1
              --------   -------
               cosh(x)   cosh(x)     
                       
        y'=   -tanh(x)   sech(x)