f(x) = S - (S-a)*b^x

Anfangswert a

Basis b (Annäherungsgeschwindigkeit)

Schranke S

Beschränktes Wachstum

a = 2 (slider from -1 to 7, step 0.05)
b = 0.5 (slider from 0.01 to 0.99, step 0.01)
S = 5 (slider from 0 to 6, step 0.1)
f(x) = S - (S - a) b^(x)
S_o: (0, S)
S_1: (1, S)
s = Ray(S_o, S_1)
O = (0, 0)
A: (0, a)
c = Segment(O, A)
f1 = Derivative(f(x))
f2 = Derivative(f1(x))
t = Function(f1(0) x + f(0), -2, 2)