Rem derivative for y= a*x^2+b*x+c
a=-1:b=-3:c=1
for y = -5 to 5 : for x = -5 to 5
circle int(30*x)+150, int(30*y)+ 150,2
next x : next y
line 150,0,150,300 : line 0,150,300,150
color red
for x = -5 to 5 step .1
y = a*x^2+b*x+c
circle 30*x +150, 150 - 30*y,2
next x
input "What is the derivative",r$
for x = -5 to 5 step .1
dy=((a*(x+.1)^2+b*(x+.1)+c)-(a*x^2+b*x+c))/.1
circle 30*x +150, 150 - 30*dy,2
next x