Zuordnung umkehren

e-Funktion

ln-Funktion

y = x

f(x) = ℯ^(x)
P = Point(f)
XP: (x(P) | 0)
YP: (0 | y(P))
g(x) = ln(x)
u = Vector(P, YP)
Q: (y(P) | x(P))
bxy = false
h = Segment(YP, P)
v = Vector(P, XP)
L = -5 (slider from -10 to 5, step 0.1)
U = -5 (slider from -5 to 5, step 0.1)
XQ: (x(Q) | 0)
YQ: (0 | y(Q))
i = Segment(XQ, Q)
w = Vector(Q, YQ)
Text3: "ln: " + (LaTeX[y(P)]) + ""
PosYln = If(y(P) ≥ 1, (-2.4 | y(P) + 0.3), (0.2 | y(P) + 0.3))
Text4: "" + (LaTeX[x(P)]) + ""
PosXln: (x(P) - 0.5 | -0.3)
PosXln2: (x(Q) - 0.5 | -0.3)
Text2: "" + (LaTeX[x(P)]) + " \\
exp: "
PosX: (x(P) - 0.5 | -0.3)
Text1: "" + (LaTeX[y(P)]) + ""
PosY = If(y(P) ≥ 1, (-1.5 | y(P) + 0.3), (0.2 | y(P) + 0.3))
Text6: "" + (LaTeX[y(Q)]) + ""
Text5: "" + (LaTeX[x(Q)]) + "\\
ln: "
a = false
b = true
j = Segment(XP, P)
k = Segment(YQ, Q)
c = Vector(Q, XQ)
PosYln2: (-1.3 | y(Q) + 0.3)
Text7: "exp: " + (LaTeX[y(Q)]) + ""
PosY2: (-2.5 | y(Q) + 0.3)
PosX2: (x(Q) - 0.5 | -0.3)
Text8: "" + (LaTeX[x(Q)]) + ""
p: y = x