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Funktionenbibliothek

Funktion: f(x) = , D_f = [0; +∞), W_f = [5.2915; +∞), Wurzelfunktion, x -> +∞: f(x) -> +∞ ->

Wertetabelle:
x	f(x)	f'(x)	f''(x)	f'''(x)	Besondere Kurvenpunkte
0	8	NaN	NaN	NaN	Schnittpunkt Sy(0|8)
0.5	6.364	-1.18	2.02	-6.18
1	5.9443	-0.61	0.66	-1.08
1.5	5.7066	-0.37	0.33	-0.38
2	5.5553	-0.24	0.2	-0.18
2.5	5.4546	-0.16	0.13	-0.1
3	5.3869	-0.11	0.09	-0.06
3.5	5.342	-0.07	0.07	-0.04
4	5.3137	-0.04	0.05	-0.03
4.5	5.2979	-0.02	0.04	-0.02
5	5.2918	0	0.03	-0.01
5.14	5.2915	0	0.03	-0.01	Tiefpunkt T(5.14|5.29)
5.5	5.2932	0.01	0.02	-0.01
6	5.3006	0.02	0.02	-0.01
6.5	5.313	0.03	0.02	-0.01
7	5.3292	0.04	0.01	0
7.5	5.3488	0.04	0.01	0
8	5.3711	0.05	0.01	0
8.5	5.3957	0.05	0.01	0
9	5.4222	0.05	0.01	0
9.5	5.4503	0.06	0.01	0
10	5.4798	0.06	0	0
10.5	5.5104	0.06	0	0
11	5.5421	0.06	0	0
11.5	5.5745	0.07	0	0
12	5.6077	0.07	0	0
12.5	5.6415	0.07	0	0
13	5.6758	0.07	0	0
13.5	5.7105	0.07	0	0
14	5.7456	0.07	0	0
14.5	5.781	0.07	0	0
15	5.8166	0.07	0	0
15.5	5.8525	0.07	0	0
16	5.8885	0.07	0	0
16.5	5.9247	0.07	0	0
17	5.961	0.07	0	0
17.5	5.9973	0.07	0	0
18	6.0337	0.07	0	0
18.5	6.0702	0.07	0	0
18.92	6.1008	0.07	0	0	Wendepunkt W(18.92|6.1)
19	6.1066	0.07	0	0
19.5	6.1431	0.07	0	0
20	6.1795	0.07	0	0
20.5	6.2159	0.07	0	0
21	6.2523	0.07	0	0
21.5	6.2886	0.07	0	0
22	6.3248	0.07	0	0
22.5	6.361	0.07	0	0
23	6.3971	0.07	0	0
23.5	6.4331	0.07	0	0
24	6.4691	0.07	0	0
24.5	6.5049	0.07	0	0
25	6.5407	0.07	0	0
25.5	6.5763	0.07	0	0
26	6.6118	0.07	0	0
26.5	6.6473	0.07	0	0
27	6.6826	0.07	0	0
27.5	6.7178	0.07	0	0
28	6.7529	0.07	0	0
28.5	6.7879	0.07	0	0
29	6.8228	0.07	0	0
29.5	6.8575	0.07	0	0
30	6.8921	0.07	0	0
30.5	6.9266	0.07	0	0
31	6.961	0.07	0	0
31.5	6.9953	0.07	0	0
32	7.0294	0.07	0	0
32.5	7.0635	0.07	0	0
33	7.0974	0.07	0	0
33.5	7.1311	0.07	0	0
34	7.1648	0.07	0	0
34.5	7.1983	0.07	0	0
35	7.2318	0.07	0	0
35.5	7.265	0.07	0	0
36	7.2982	0.07	0	0
36.5	7.3313	0.07	0	0
37	7.3642	0.07	0	0
37.5	7.397	0.07	0	0
38	7.4297	0.07	0	0
38.5	7.4623	0.07	0	0
39	7.4948	0.06	0	0
39.5	7.5271	0.06	0	0
40	7.5593	0.06	0	0
Graph:

Abkürzungen: D_f = (maximaler) Definitionsbereich, f(x) = Funktion, f'(x) = 1. Ableitung, f''(x) = 2. Ableitung, f'''(x) = 3. Ableitung, H = Hochpunkt, L = Lücke, N = Nullstelle, P = Polstelle, R = reelle Zahlen, S = Sprungstelle, T = Tiefpunkt, W = Wendepunkt, W_S = Sattelpunkt, W_f = Wertebereich, {.} = ein-/mehrelementige Menge, [.; .] = abgeschlossenes Intervall, (.; .) = offenes Intervall, [.; .), (.; .] = halboffenes Intervall, ∞ = unendlich.

Bearbeiter: Michael Buhlmann

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