Program Pochodna;
uses Graph;
var karta,tryb,n,siatka,j:integer;
    x,y:real;
function f(x:real):real;
begin
  f:=sin(x);
end;
function g(x:real):real;
begin
  g:=(f(x+0.000001)-f(x))/0.000001;
end;
begin
  karta:=detect; initGraph(karta,tryb,'');
  j:=36;
  setColor(darkGray); rectangle(0,0,639,479);
  for n:=-320 div j to 320 div j do
  begin
    line(320+n*j,0,320+n*j,479);
    line(0,240+n*j,639,240+n*j);
  end;
  setcolor(white);
  line(0,240,639,240); line(630,235,639,240);
  line(630,245,639,240); outtextxy(630,250,'X');
  line(320,0,320,479); line(315,9,320,0);
  line(320,0,325,9); outtextxy(330,8,'Y');
  x:=-320/j;
  repeat
    x:=x+1/j/2;
    y:=240-f(x)*j;
    setColor(lightBlue); setFillStyle(1,lightBlue);
    if abs(y)<480 then
       fillEllipse(round(x*j+320),round(y),1,1);
    y:=240-g(x)*j;
    setColor(lightRed); setFillStyle(1,lightRed);
    if abs(y)<480 then
       fillEllipse(round(x*j+320),round(y),1,1);
  until x>320/j;
  readln; closeGraph;
end.