Newtomverfahren, besondere Funktion
Author: Prof. Dr. Dörte Haftendorn
Date: 15 Juli 2013

Newtonverfahren

Ziehe an A oder

bewege A mit den Pfeiltasten

Ha 06

Ha 2006/13

f(x) = 0.1 * (x^(5) - 3 * x^(4) + 10)
A = Point(xAxis)
B: (x(A), f(x(A)))
a = Tangent(B, f)
C = Intersect(a, xAxis)
D: (x(C), f(x(C)))
b = Tangent(D, f)
E = Intersect(b, xAxis)
F: (x(E), f(x(E)))
c = Tangent(F, f)
G = Intersect(c, xAxis)
d = Segment(A, B)
e = Segment(B, C)
g = Segment(C, D)
h = Segment(D, E)
i = Segment(E, F)
j = Segment(F, G)
T2: "x_0 = " + (x(A))
T3: "x_3 = " + (x(G))
T4: "x_1 = " + (x(C))
T5: "x_2 = " + (x(E))
Text1: "f(x)=" + f + ""