Polynom 4. Grades
Author: Prof. Dr. Dörte Haftendorn
Date: Nov. 05

In gewissem sinn sit dies ein allgemeins Polynom 4. Grades.

Variiere c

Polynom 4. Grades

Ha 05

1/st=Stauchfaktor

c/st= Steigung der blauen Tangente

Pantherkäfig

Ha 05

Integrale

st = 12
w = 4
c = 8
f(x) = (x^(4) / 12 - w / 6 * x^(3) + c * x) / st
W: (w, f(w))
a = Tangent(W, f)
O = (0, 0)
b = Tangent(O, f)
A, W_1, D = Intersect(f, a)
C, B = Intersect(f, b)
t_1(x) = f'(0) * x
t_2(x) = f'(w) * (x - w) + f(w)
d = IntegralBetween(t_1, f, 0, x(B))
e = IntegralBetween(t_2, f, x(A), w)
g: x = -w
h: x = w
i: x = 2 * w
j = true
Text2 = LaTeX(g, true, true)
l = true