Differenzenquotient, durchschnittliche  Änderungsrate
Author: Jose Martin
Date: 28.04.2007

f

t in Tagen

Anzahl Viren in Millionen

g_1(x) = -0.1 (x - 10)² + 7
B = Point(g_1)
x_2: (x(B), 0)
A = Point(g_1)
x_1: (x(A), 0)
f_1 = Segment(x_2, B)
f_2 = Segment(x_1, A)
a_1 = Line(B, A)
C: (x(A), y(B))
m = Slope(a_1)
T3: "f(x_2) - f(x_1) = " + (y(B) - y(A))
T4: "x_2 - x_1 = " + (x(B) - x(A))
M_1 = Midpoint(B, C)
M_2 = Midpoint(C, A)
T1: "x_2 = " + (x(B))
T7: "x_1 = " + (x(A))
E: (0, y(B))
D: (0, y(A))
c = Segment(E, C)
d = Segment(D, A)
e = Segment(C, A)
g = Segment(B, C)
T5: "f(x_1) = " + (y(A))
T6: "f(x_2) = " + (y(B))
h = Segment(x_2, x_1)
i = Segment(E, D)
F = (1.390143737415447, 8.543586805333735)
G = (3.1536199331420844, 8.543586805333735)
T15: "Differenzenquotient: m=\frac{f(x_2)-f(x_1)}{x_2-x_1}=\frac{" + (y(B) - y(A)) + "}{" + (x(B) - x(A)) + "} \; =\; " + m