Mathc initiation/Fichiers h : x 66ca

Installer et compiler ces fichiers dans votre répertoire de travail.

	`c01a.c`

/* ---------------------------------- */
/* save as c16a.c                     */
/* ---------------------------------- */
#include "x_hfile.h"
#include       "fa.h"
/* ---------------------------------- */
int main(void)
{

pt2d  p1 = {1,-2};

/* ---------------------------------- */
 clrscrn();
 
 printf("   Implicit differentiation.\n\n" 
 
        "            ****************\n\n"

 " If an equation F(x,y) = 0 determines,\n"
 " implicitly, a differentiable function g of\n"
 " one variable x such that y = g(x) then \n\n"

 
 "       dy      F_x(x,y)\n"
 "       --  = - --------\n"
 "       dx      F_y(x,y)\n\n");
 stop();

/* ---------------------------------- */
 clrscrn();
 printf("  f   : x,y-> %s\n\n\n\n",feq);

 printf("  In first verify that the point p(%0.2f,%0.2f)\n\n", p1.x,p1.y);
 printf("  satisfy the equation.\n\n");
 printf("  f(%0.2f,%0.2f) = %0.9f\n\n\n", 
           p1.x,p1.y,f(p1.x,p1.y));

 printf("  Now you can compute : y'](%0.2f,%0.2f)\n\n\n",p1.x,p1.y);

 printf("  y'](%0.2f,%0.2f) = %0.9f      with %s \n\n",
           p1.x,p1.y,dy(p1.x,p1.y),dyeq);
 printf("  y'](%0.2f,%0.2f) = %0.9f      with implicitDy(); \n\n",
           p1.x,p1.y, implicitDy(f,H,p1));

 stop();

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

Exemple de sortie écran :

   Implicit differentiation.

            ****************

 If an equation F(x,y) = 0 determines,
 implicitly, a differentiable function g of
 one variable x such that y = g(x) then 

       dy      F_x(x,y)
       --  = - --------
       dx      F_y(x,y)

 Press return to continue.

Exemple de sortie écran :

  f   : x,y-> y**4 + 3*y -  4*x**3 - 5*x - 1



  In first verify that the point p(1.00,-2.00)

  satisfy the equation.

  f(1.00,-2.00) = 0.000000000


  Now you can compute : y'](1.00,-2.00)


  y'](1.00,-2.00) = -0.586206897      with (12*x**2 + 5) / (4*y**3 + 3) 

  y'](1.00,-2.00) = -0.586206896      with implicitDy(); 

 Press return to continue.