Plattstelle und Erkundung
Author: Prof. Dr. Dörte Haftendorn
Date: 15. Juni 06

fv=f '

g=f ''

Steigung in W

P ist platt

Setze m auch auf 0

a = 3
b = 1
m = 0 (slider from -5 to 5, step 0.1)
c = 6
fv(x) = -(x - a)^(3) + m * (x - a) + b
f(x) = -0.25 * (x - a)^(4) + m / 2 * (x - a)^(2) + b * (x - a) + c
A, A_1, A_2 = Root(fv)
B, B_1, B_2 = Extremum(f)
d = OrthogonalLine(B, xAxis)
C, D = Extremum(fv)
e = OrthogonalLine(D, xAxis)
h = OrthogonalLine(C, xAxis)
E = Intersect(f, h)
F = Intersect(f, e)
i: y = c
W: (a, b)
g(x) = fv'(x)
j: x = a
P = Intersect(j, i)