Wiki-Quellcode von Lösung Mittlere und momentane Änderungsrate
Verstecke letzte Bearbeiter
| author | version | line-number | content |
|---|---|---|---|
 |
1.1 | 1 | (%class=abc%) |
| 2 | 1. {{formula}}\frac{f(2)-f(1)}{2-1}=\frac{2^2-1^2}{1}=\frac{4-1}{1}=3{{/formula}} | ||
| 3 | 1. ((({{formula}} | ||
| 4 | \begin{align*} | ||
| 5 | f'(1) &= \lim_{h \to 0} \frac{(1+h)^2 - 1^2}{1+h-1} && \text{| 1. Binomische Formel}\\ | ||
| 6 | &= \lim_{h \to 0} \frac{(1 + 2h + h^2) - 1}{h} \\ | ||
| 7 | &= \lim_{h \to 0} \frac{2h + h^2}{h} \\ | ||
| 8 | &= \lim_{h \to 0} \frac{h(2 + h)}{h} \\ | ||
| 9 | &= \lim_{h \to 0} (2 + h) \\ | ||
| 10 | &= 2 | ||
| 11 | \end{align*} | ||
| 12 | {{/formula}}))) |