absolute Änderung

f(x_A)=1

f(x_B)

absolute Änderung

Änderungsfaktor

relative Änderung

relative Änderung

mittlere Änderungsrate

f(x) = (2 * x^(2)) + (3 * x) + 2
A = Point(f)
B = Point(f)
g = OrthogonalLine(A, yAxis)
h = OrthogonalLine(B, yAxis)
C = Intersect(h, yAxis)
D = Intersect(g, yAxis)
i = Segment(C, D)
j = OrthogonalLine(A, xAxis)
k = OrthogonalLine(B, xAxis)
E = Intersect(j, xAxis)
F = Intersect(k, xAxis)
l = Segment(A, E)
m = Segment(B, F)
Änderungsfaktor: y(B) / y(A)
Text1: "\frac{f(x_B)}{f(x_A)}=" + (LaTeX[Änderungsfaktor]) + ""
a = false
b = false
ykote: (y(B) - y(A)) / y(A)
G: (0, ykote)
Text2: "\frac{f(x_B)-f(x_A)}{f(x_A)}=" + (LaTeX[ykote]) + ""
c = false
n = Line(B, A)
d = Slope(n)
mittlere: (y(A) - y(B)) / (x(A) - x(B))
Text3: "\frac{y_B-y_A}{x_B-x_A}=" + (LaTeX[mittlere]) + ""
p = OrthogonalLine(A, xAxis)
q = OrthogonalLine(B, xAxis)
H = Intersect(p, xAxis)
I = Intersect(q, xAxis)
r = Segment(H, I)
s = OrthogonalLine(A, yAxis)
t = OrthogonalLine(B, yAxis)
J = Intersect(s, yAxis)
K = Intersect(t, yAxis)
e = Segment(J, K)
o = true