c

k

G

exponentielles Wachstum

beschränktes Wachstum

logistisches Wachstum

f

f(x) =

automatisierte Trendlinie

G = 100 (slider from 80 to 120, step 5)
k: 0.6
a = 2 (slider from 0 to 40, step 1)
c: G / a - 1
f(x) = G / (1 + (c * ℯ^(((-k) * x))))
gL: -10
gR: 120
gU: -30
gO: 350
l1 = Sequence((i | f(i)), i, 0, 20)
c0 = 100 (slider from 0 to 200, step 1)
k0 = 0.05 (slider from 0.001 to 0.100, step 0.001)
G0 = 200 (slider from 50 to 350, step 5)
g(x) = (G0 / c0 * ℯ^((k0 * x)))
d = Sequence((i | 100 - f(i)), i, 10, 16)
h(x) = G0 - ((G0 * c0) * ℯ^(((-k0) * x)))
xW: ln(61) / 0.58
W: (xW | 50)
mW: f'(xW)
wexp = false
wbeschr = false
I2 = NaN
l2: {(0 | 3), (8 | 9), (17 | 22), (34 | 38), (51 | 82), (60 | 112), (84 | 255), (93 | 295), (110 | 295)}
P = Point(l2)
Pg = Point(g)
Ph = Point(h)
Text1: "g(x) = " + (LaTeX[g]) + ""
Text2: "h(x) = " + (LaTeX[h]) + ""
wlog = false
f0(x) = G0 / (1 + (c0 * ℯ^(((-k0) * x))))
Eingabefeld1 = Textfield(f0)
l3 = Solve(f(x) = 50)
a0: 2
Text3: "f(x) = " + (LaTeX[f0]) + ""
p = FitLogistic(l2)
wtrend = false