📄 c03b1d.c
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/* .c freeware xhunga@tiscali.fr
*/
/* --------------------------------- INCLUDES ------------------------------- */
#include "xa_hfile.h"
#include "f___1.h"
/* --------------------------------- MAIN ----------------------------------- */
int main(void)
{
double (*P_f)(double x);
double (*PDf)(double x);
double c = 0.4;
double t;
/*-------------------------------- PROGRAM ---------------------------------- */
P_f = f;
PDf = Df;
clrscrn();
printf(" f : x-> %s\n", feq);
printf(" Df : x-> %s\n\n\n",Dfeq);
printf(" With c = %0.3f, the equation of the tangent is :\n\n",c);
printf(" Df(c) (x-c) + f(c) = ");
eq_Tan( c,
(*P_f),
(*PDf)
);
printf("\n\n the equation of the normal is :\n\n");
printf(" -1/Df(c) (x-c) + f(c) =");
eqNorm( c,
(*P_f),
(*PDf)
);
printf("\n\n\n");
printf(" Find PA, the length of the normal from P to the x axis.\n\n");
t = ((*P_f)(c));
printf(" P(%6.3f, %6.3f) P( a, f(c)) \n", c, t);
t = c+((*P_f)(c))*((*PDf)(c));
printf(" A(%6.3f, %6.3f) A(c + f(c) Df(c), 0)\n\n", t, 0.);
t = ((*P_f)(c))* sqrt(1+pow(((*PDf)(c)),2));
printf(" PA = %6.3f f(c) sqrt( 1 + Df(c)**2 )", t);
gplt_NormPx(-5, /* xmin plot [xmin:xmax] [ymin:ymax] */
4, /* xmax */
-6, /* ymin */
4, /* ymax */
c,
feq,
(*P_f),
(*PDf)
);
printf("\n\n");
printf(" To see the graph, open the file \"f_Df.plt\" with Gnuplot.\n\n");
printf(" Press return to continue\n");
getchar();
return 0;
}
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