1-04-Nullstellen

Version Stand
21.09.2023
Andreas Jäger

Stand

x

x²

x²-3

x³

x³-2x²-4x+8

n=1,2,..

Steigung

Krümmung

n =

Werte

bVer = false
x0 = 2.1486598396235155 (slider from -4 to 4, step 0.01)
num: 1
n = 3 (slider from 1 to 11, step 1)
f(x) = x
X0: (x0 | 0)
Y0: (x0 | f(x0))
dx: 0.5
g(x) = If[x0 - dx ≤ x ≤ x0 + dx, (f'(x0) * (x - x0)) + f(x0)]
a = false
q(x) = If[x0 - dx < x < x0 + dx, f(x0) + (f'(x0) * (x - x0)) + ((1 / 2 * f''(x0)) * (x - x0)^(2))]
b = false
Text4: "" + (LaTeX[f, true, true]) + "
f(x_0) = f(" + x0 + ") = " + (f(x0)) + "
m = " + (f'(x0)) + ": " + (If[f'(x0) < 0, "negative", If[f'(x0) > 0, "positive", "keine"]]) + " Tangenten-Steigung
Krümmung:  " + (If[q''(x0) < 0, "rechts-", If[q''(x0) > 0, "links-", "nicht "]]) + "gekrümmt"
Eingabefeld1 = Textfield(n)
c = false