|
Wichtige Begriffe

Monotonie und Extremwerte
`f'(x) = x^3 + 2 x^2 - x - 2 = (x+2)(x+1)(x-1)`
| x | `-oo lt x lt -2` | `x=-2` | `-2 lt x lt -1` | `x = -1` | `-1 lt x lt +1` | `x = +1` | `+1 lt x lt +oo` |
| f'(x) | `-` | `0` | `+` | `0` | `-` |
`0` | `+` |
| `G_f` | monoton fallend | lokales Minimum | monoton steigend | lokales Maximum | monoton fallend | absolutes Minimum | monoton steigend |

Monotonie

Extrema

Monotonie und Extremwerte eingetragen
|