dx

t

f'(x_0)

$x_0 =$

h =

Sekante

Tangente

f(x) = sqrt(16 - x^(2))
x0 = 3
P: (x0 | f(x0))
f1: f'(x0)
c = Circle(P, 0.5)
dx = 1 (slider from -5 to 5)
a = 1
P0: (a | f(a))
Text1: "f: " + (LaTeX[a]) + " \rightarrow " + (LaTeX[f(a)]) + ""
Eingabefeld4 = Textfield(dx)
A = (2, 4)
B = (0, 2)
t = Tangent(P, f)
g = Line(A, B)
b = true
m = Slope(t)
mg: (y(B) - y(A)) / (x(B) - x(A))
bg: g(0)
y0: y(P)
t1(x) = (m * (x - x0)) + y0
Text3: "t(x) = " + (LaTeX[t1]) + ""
C, D = Intersect(c, t)
h: 0.5
x1: x0 + h
y1: f(x1)
ms: (y1 - y0) / (x1 - x0)
s(x) = (ms * (x - x0)) + y0
Text2: "f(x) = " + (LaTeX[f]) + ""
Eingabefeld1 = Textfield(x0)
d = Slope(t)
Text4: "f'(" + x0 + ") =" + f1 + ""
Eingabefeld2 = Textfield(h)
e = false
i = false
j = OrthogonalLine(P, t)
Q: (x1 | y1)