, Df = R, Wf = [0; +∞), Kubikwurzelfunktion, Funktion achsensymmetrisch zur Senkrechten x = 0, x -> -∞: f(x) -> +∞, x -> +∞: f(x) -> +∞ ->www.michael-buhlmann.de
Funktion: f(x) = , Df = R, Wf = [0; +∞), Kubikwurzelfunktion, Funktion achsensymmetrisch zur Senkrechten x = 0, x -> -∞: f(x) -> +∞, x -> +∞: f(x) -> +∞ ->
| Wertetabelle: | |||||
| x | f(x) | f'(x) | f''(x) | f'''(x) | Besondere Kurvenpunkte |
| -10 | 4.6416 | -0.31 | -0.01 | 0 | |
| -9.5 | 4.4856 | -0.31 | -0.01 | 0 | |
| -9 | 4.3267 | -0.32 | -0.01 | 0 | |
| -8.5 | 4.165 | -0.33 | -0.01 | 0 | |
| -8 | 4 | -0.33 | -0.01 | 0 | |
| -7.5 | 3.8315 | -0.34 | -0.02 | 0 | |
| -7 | 3.6593 | -0.35 | -0.02 | 0 | |
| -6.5 | 3.4829 | -0.36 | -0.02 | 0 | |
| -6 | 3.3019 | -0.37 | -0.02 | 0 | |
| -5.5 | 3.1158 | -0.38 | -0.02 | -0.01 | |
| -5 | 2.924 | -0.39 | -0.03 | -0.01 | |
| -4.5 | 2.7257 | -0.4 | -0.03 | -0.01 | |
| -4 | 2.5198 | -0.42 | -0.03 | -0.01 | |
| -3.5 | 2.3052 | -0.44 | -0.04 | -0.02 | |
| -3 | 2.0801 | -0.46 | -0.05 | -0.02 | |
| -2.5 | 1.842 | -0.49 | -0.07 | -0.04 | |
| -2 | 1.5874 | -0.53 | -0.09 | -0.06 | |
| -1.5 | 1.3104 | -0.58 | -0.13 | -0.12 | |
| -1 | 1 | -0.67 | -0.22 | -0.3 | |
| -0.5 | 0.63 | -0.84 | -0.56 | -1.53 | |
| 0 | 0 | Infinity | Infinity | Infinity | Nullstelle N(0|0) = Schnittpunkt Sy(0|0) |
| 0.5 | 0.63 | 0.84 | -0.56 | 1.46 | |
| 1 | 1 | 0.67 | -0.22 | 0.29 | |
| 1.5 | 1.3104 | 0.58 | -0.13 | 0.11 | |
| 2 | 1.5874 | 0.53 | -0.09 | 0.06 | |
| 2.5 | 1.842 | 0.49 | -0.07 | 0.03 | |
| 3 | 2.0801 | 0.46 | -0.05 | 0.02 | |
| 3.5 | 2.3052 | 0.44 | -0.04 | 0.02 | |
| 4 | 2.5198 | 0.42 | -0.03 | 0.01 | |
| 4.5 | 2.7257 | 0.4 | -0.03 | 0.01 | |
| 5 | 2.924 | 0.39 | -0.03 | 0.01 | |
| 5.5 | 3.1158 | 0.38 | -0.02 | 0.01 | |
| 6 | 3.3019 | 0.37 | -0.02 | 0 | |
| 6.5 | 3.4829 | 0.36 | -0.02 | 0 | |
| 7 | 3.6593 | 0.35 | -0.02 | 0 | |
| 7.5 | 3.8315 | 0.34 | -0.02 | 0 | |
| 8 | 4 | 0.33 | -0.01 | 0 | |
| 8.5 | 4.165 | 0.33 | -0.01 | 0 | |
| 9 | 4.3267 | 0.32 | -0.01 | 0 | |
| 9.5 | 4.4856 | 0.31 | -0.01 | 0 | |
| 10 | 4.6416 | 0.31 | -0.01 | 0 | |
| Graph: | |||||
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Abkürzungen: Df = (maximaler) Definitionsbereich, f(x) = Funktion, f'(x) = 1. Ableitung, f''(x) = 2. Ableitung, f'''(x) = 3. Ableitung, H = Hochpunkt, N = Nullstelle, P = Polstelle, R = reelle Zahlen, T = Tiefpunkt, W = Wendepunkt, WS = Sattelpunkt, Wf = Wertebereich, {.} = ein-/mehrelementige Menge, [.; .] = abgeschlossenes Intervall, (.; .) = offenes Intervall, [.; .), (.; .] = halboffenes Intervall, ∞ = unendlich.
Bearbeiter: Michael Buhlmann