Kurvendiskussion
Author: J.Maierhofer

f'(x) hat Nullstellen bei -2 und 4
       und Extremstellen bei 0 und 4

W

S

f''(x) hat Nullstellen bei 0 und 4

f'(x)

f''(x)

f'''(x)

f(x) = 1.000000000000000 / 64.00000000000000 x^(4.000000000000000) - 1.000000000000000 / 8.000000000000000 x^(3.000000000000000) + 2.000000000000000 x
f'(x) = f'(x)
f''(x) = f''(x)
A = Intersect(f', xAxis, 1.000000000000000)
a = OrthogonalLine(A, xAxis)
T = Intersect(f, a)
b = Segment(A, T)
B, C = Intersect(f'', xAxis)
c = OrthogonalLine(C, xAxis)
D = Intersect(f, c)
d = Segment(C, D)
e = OrthogonalLine(T, b)
g = OrthogonalLine(D, d)
h = Circle(T, 2.000000000000000)
k = Circle(D, 2.000000000000000)
E = Intersect(h, e, 1.000000000000000)
F = Point(h)
i = Segment(E, F)
G = Intersect(k, g, 2.000000000000000)
H = Intersect(k, g, 1.000000000000000)
j = Segment(G, H)
f'''(x) = f'''(x)
l = false
m = false
n = false
N_1, N_2 = Intersect(f, xAxis)