Mathc initiation/Fichiers c : c76cl

Sommaire

Installer et compiler ces fichiers dans votre répertoire de travail.

	c01l.c

/* --------------------------------- */
/* save as c1l.c                     */
/* --------------------------------- */
#include "x_hfile.h"
#include      "fl.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 de la fonction f :

Exemple de sortie écran :

  f : x-> acot(x)

 Df : x-> -1/(x**2+1)


  Compute the derivative of f when x = 1.000

  with   Df(1.000) = -0.50000000    
  with fx_x(1.000) = -0.50000000


 Press return to continue.

Calculons la dérivé :

        y = acot(x)                                        (*)
   
   cot(y) = cot(acot(x))
   
   
   cot(y) = x                                              (**)
   
   
   (cot(y))' = (x)'      
   
   -csc**2(y) dy/dx = 1
   
                                     
   dy/dx = -1/csc**2(y)               csc**2(x) - cot**2(x) = 1
                                      csc**2(x) = cot**2(x) + 1 

   dy/dx = -1/(cot**2(y) + 1)         
                                        cot(y) = x          (**)
   dy/dx = -1/(x**2 + 1)
   
                                             y = acot(x)    (*)
   d(acot(x))/dx = -1/(x**2 + 1)    
   
   
      (acot(x))' = -1/(x**2 + 1)