x*ln x mit einer ganz besonderen Eigenschaft
Author: Prof. Dr. Dörte Haftendorn
Date: Feb 07

In Klausur verwendet

f(x)=x*ln(x)

Ha Feb 07

Tangente

Dreiecke

f = If(x > 0.0, x * log(x), 0.0)
B = Point(f)
a = Tangent(B, f)
E = Intersect(a, yAxis)
g(x) = (y(B) - y(E)) / x(B) * x + y(E)
O = (0, 0)
A: (x(B), 0.0)
C: (0.0, y(B))
D = Mirror(C, xAxis)
d(x) = y(B) / x(B) * x
io = Integral(d, f, 1.0E-5, x(B))
P: (x(B), io)
F: (x(B), y(E))
R, f_1, e, a_1 = Polygon(E, A, F)
M = Midpoint(A, F)
S, e_1, g_1, f_2 = Polygon(M, F, E)
b = Segment(B, A)
c = false
h = false
iu = Integral(f, g, 1.0E-5, x(B))