# 2n squared

Input |
---|

2 n^2 |

Values |

n | 1 | 2 | 3 | 4 | 5 2 n^2 | 2 | 8 | 18 | 32 | 50 |

Geometric figure |

parabola |

Root |

n = 0 |

Polynomial discriminant |

Delta = 0 |

Property as a function |

even |

Derivative |

d/dn(2 n^2) = 4 n |

Indefinite integral |

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

Global minimum |

min{2 n^2} = 0 at n = 0 |