Wiki-Quellcode von Lösung Tangente in einem Kurvenpunkt
Version 2.1 von Martin Stern am 2025/10/13 09:57
Zeige letzte Bearbeiter
| author | version | line-number | content |
|---|---|---|---|
| 1 | {{formula}}f(x)=\frac{1}{5}x^3-\frac{16}{5}x{{/formula}} | ||
| 2 | {{formula}}f'(x)=\frac{3}{5}x^2-\frac{16}{5}{{/formula}} | ||
| 3 | {{formula}}f'(3)=\frac{11}{5}{{/formula}} | ||
| 4 | {{formula}}f(3)=-\frac{21}{5}{{/formula}} | ||
| 5 | Einsetzen von {{formula}}m=\frac{11}{5}{{/formula}} und {{formula}}P(3|-\frac{21}{5}){{/formula}} in {{formula}}y=mx+c{{/formula}}: | ||
| 6 | {{formula}}-\frac{21}{5}=\frac{11}{5}\cdot 3+c{{/formula}} | ||
| 7 | {{formula}}t: y= \frac{11}{5}x-\frac{54}{5}{{/formula}} |