x

f(x)=

xMin =

xMax

dx

+

–

◦

x_0 =

Schrittweite:

Änderung:

Änderungsrate:
Steigung:

h =

x0: 0
f(x) = If[x < 0, (x + 1)^(2), (x - 1)^(2)]
h: 1
df: f(x0 + h) - f(x0)
dx = 1 (slider from -5 to 5)
xmin: -2
xmax: 2
W = Sequence(f(i), i, xmin, xmax, dx)
W0 = Remove(W, {Infinity})
W2 = RemoveUndefined(W0)
a = 1
WT = Sequence({i, f(i)}, i, xmin, xmax, dx)
ymin0 = Min(W)
ymax0 = Max(W2)
P0: (a, f(a))
Text1: "f: " + (LaTeX[a]) + " \rightarrow " + (LaTeX[f(a)]) + ""
pos = If(a < 0, ((xmax - xmin) / 15, 0), Vector[(-((xmin - xmax) / 100, 0))])
WText = Insert({{"x", "f(x)"}}, WT, 1)
Text2 = TableText(WText, "v|_ll")
b = 1 (slider from xmin to xmax, step dx)
ma = 1 (slider from -5 to 5)
ymax = If(ymax0 < 1, abs(ymin0) / 10, ymax0)
ymin = If(ymin0 > -1, (-(ymax0 / 10)), ymin0)
Eingabefeld1 = Textfield(f)
Eingabefeld2 = Textfield(xmin)
Eingabefeld3 = Textfield(xmax)
Eingabefeld4 = Textfield(dx)
W1 = RemoveUndefined(W0)
P: (x0, f(x0))
Q: (x0 + h, f(x0 + h))
s = Line(P, Q)
m: df / h
Eingabefeld5 = Textfield(x0)
v: (ymax - ymin + 2) / (xmax - xmin + 2)
R: (x(Q), y(P))
u = Vector(P, R)
w = Vector(R, Q)
g = Segment(P, Q)
Text4: "f(x_0+h)-f(x_0) = " + (LaTeX[df]) + ""
Text5: "m(x_0, x_0+h)=\frac{f(x_0+h)-f(x_0)}{h} = " + (LaTeX[m]) + ""
fmax = Max({f(x0), f(x0 + h)})
fmin = Min({f(x0), f(x0 + h)})
Eingabefeld6 = Textfield(h)