# 5 2 n 1 2n

Input |
---|

5×2 n×1 (2 n) |

Result |

20 n^2 |

Values |

n | 1 | 2 | 3 | 4 | 5 20 n^2 | 20 | 80 | 180 | 320 | 500 |

Geometric figure |

parabola |

Root |

n = 0 |

Polynomial discriminant |

Delta = 0 |

Property as a function |

even |

Derivative |

d/dn(5×2 n (2 n)) = 40 n |

Indefinite integral |

integral 20 n^2 dn = (20 n^3)/3 + constant |

Global minimum |

min{5 2 n (2 n)} = 0 at n = 0 |