x

f(x)=

dx

x_0 =

Schrittweite:

Änderung:

Steigung:

f(x) = 1 / x
Q = Point(f)
x0: 1
P: (x0 | f(x0))
h: x(Q) - x(P)
df: f(x0 + h) - f(x0)
dx = 1 (slider from -5 to 5, step 0.1)
xmin = -2 (slider from -5 to 5, step 0.1)
xmax = 2 (slider from -5 to 10, step 0.1)
a = 1
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))])
b = 1 (slider from xmin to xmax, step dx)
ma = 1 (slider from -5 to 5, step 0.1)
Eingabefeld1 = Textfield(f)
Eingabefeld4 = Textfield(dx)
s = Line(P, Q)
m: df / h
Eingabefeld5 = Textfield(x0)
R: (x(Q) | y(P))
u = Vector(P, R)
w = Vector(R, 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]) + ""
Text2: "h = " + h + ""
g = Line(P, Q)