# 2 4z 1 3 z 2

Input |
---|

2 (4 z)×1×3 z×2 |

Result |

48 z^2 |

Geometric figure |

parabola |

Complex map |

–> |

Root |

z = 0 |

Polynomial discriminant |

Delta = 0 |

Property as a function |

even |

Branch points |

(none; function is entire) |

Derivative |

d/dz(2 (4 z)×3 z×2) = 96 z |

Indefinite integral |

integral 48 z^2 dz = 16 z^3 + constant |

Global minimum |

min{2 (4 z) 3 z 2} = 0 at z = 0 |