Polynome 4. Grades mit zwei Wendepunkten
Author: Prof. Dr. Dörte Haftendorn

Extrema von f

Extrema von g

f zeigen

WendepunkteGerade

Polynome 4. Grades mit zwei Wendepunkten

Ha Feb 09

g zeigen

Wendeflächen

g(x)=t(x^4-2 w x^2+w^3)

f(x)=g(x)+a x

Ha 09

t = 0.08333333333333333
w = 3
a = 1
g(x) = t x * (x^(3) - 2 w x^(2) + w^(3))
f(x) = g(x) + a x
h(x) = a x
c: x = w
A, B, C, D = Root(g)
b: w^(3) + a / t
d: x = x(C)
e: x = x(D)
E, F, G, H = Intersect(f, h)
I, J, K = Extremum(g)
L, M, N = Extremum(f)
l = false
m = false
n = true
o = false
q: x = -w
r: x = 2 w
s(x) = t b x
f_1(x) = f'(w) * (x - w) + f(w)
V, P, O, Q = Intersect(f_1, f)
Q = Intersect(g, f, 1)
R = Intersect(g, f, 1)
S = Intersect(g, f, 1)
T, U = Intersect(s, f)
v = Integral(f_1, f, -w, w)
u = Integral(s, f, 0, 2 w)
Z = Intersect(f_1, s)
z = true
a_1: x = x(A)
W = Intersect(f_1, c)
d_1 = false
V_x = Intersect(q, xAxis)
U_x = Intersect(r, xAxis)