g

g(t) =

+ t_H

y

2y

* 1/2

f(t) = (4 * ℯ^((-0.2 * t)))
P = Point(f)
U2 = NaN
O2 = NaN
L = 1 (slider from -5 to 5, step 0.1)
xP: x(P)
k: f'(0) / f(0)
r = If(k ≥ 0, 2, 1 / 2)
tH: ln(r) / k
Q: (xP + tH | f(xP + tH))
R: (x(Q) | y(P))
Eingabefeld1 = Textfield(f)
yP: y(P)
v = Vector(R, Q)
textx = If(k ≥ 0, "+ t_V", "+ t_H")
PX: (xP | 0)
X = 1 (slider from -5 to 5, step 0.1)
g = Segment(PX, P)
QX: (x(Q) | 0)
h = Segment(QX, Q)
u = Vector(PX, QX)
texty = If(k ≥ 0, "2y", "y/2")