Calculus (Derivative:Tangent). v04
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xhunga
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/* .c freeware [[Email Removed]]
*/
/* --------------------------------- INCLUDES ------------------------------- */
#include "xa_hfile.h"
#include "f___1.h"
/* --------------------------------- MAIN ----------------------------------- */
int main(void)
{
double (*P_f)(double x);
double (*PDf)(double x);
double c = 1.;
double t;
/*-------------------------------- PROGRAM ---------------------------------- */
P_f = f;
PDf = Df;
clrscrn();
printf(" f : x-> %s\n\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\n");
printf(" Find AM, the length of the under tangent.\n\n");
t =((*P_f)(c));
printf(" P(%6.3f, %6.3f) P( c, 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", t, 0.);
printf(" M(%6.3f, %6.3f) M( c, 0)\n\n\n", c, 0.);
t = (((*P_f)(c))*(1/((*PDf)(c))));
printf(" AM = f(c)/Df(c) = %6.3f\n\n\n", t);
/* plot [xmin:xmax] [ymin:ymax] */
gplt_TanxM (-4, /* xmin */
4, /* xmax */
-9, /* ymin */
2, /* ymax */
c,
feq,
(*P_f),
(*PDf));
printf(" To see the graph, open the file \"f_Df.plt\" with Gnuplot.\n\n");
printf(" Press return to continue\n");
getchar();
return 0;
}