Version 6.1 von akukin am 2025/11/05 17:46

Zeige letzte Bearbeiter
1 Die Funktionen {{formula}}u(x){{/formula}} und {{formula}}v(x){{/formula}} werden durch Addition oder Multiplikation miteinander verknüpft. Ergänze die Tabelle:
2 (% class="border" %)
3 |={{formula}}u(x){{/formula}}|={{formula}}v(x){{/formula}}|=Graph der verknüpften Funktion|=Verknüpfungsoperator|=verknüpfte Funktion
4 |{{formula}}x{{/formula}}|{{formula}}e^{-x}{{/formula}}|[[image:verknuepft1.svg||width=150]]|Addition ({{formula}}+{{/formula}})|{{formula}}x+e^{-x}{{/formula}}
5 |{{formula}}x^2{{/formula}}|{{formula}}e^{-x}{{/formula}}|[[image:verknuepft2.svg||width=150]]|Multiplikation ({{formula}}\cdot{{/formula}})|{{formula}}x^2\cdot e^{-x}{{/formula}}
6 |{{formula}}\cos(x){{/formula}}|{{formula}}x{{/formula}}|[[image:verknuepft3.svg||width=150]]|Multiplikation ({{formula}}\cdot{{/formula}})|{{formula}}x\cdot \cos(x){{/formula}}
7 |{{formula}}-e^x{{/formula}}|{{formula}}-2x{{/formula}}|[[image:verknuepft4.svg||width=150]]|Addition ({{formula}}+{{/formula}})|{{formula}}-e^{x}-2x{{/formula}}
8 |{{formula}}e^{0.5x}{{/formula}}|{{formula}}\sin(x){{/formula}}|[[image:verknuepft5.svg||width=150]]|Multiplikation ({{formula}}\cdot{{/formula}})|{{formula}}e^{0,5x}\cdot \sin(x){{/formula}}