# 4y y

Input |
---|

4 y y |

Result |

4 y^2 |

Geometric figure |

parabola |

Root |

y = 0 |

Polynomial discriminant |

Delta = 0 |

Derivative |

d/dy(4 y y) = 8 y |

Indefinite integral |

integral 4 y^2 dy = (4 y^3)/3 + constant |

Global minimum |

min{4 y y} = 0 at y = 0 |

Input |
---|

4 y y |

Result |

4 y^2 |

Geometric figure |

parabola |

Root |

y = 0 |

Polynomial discriminant |

Delta = 0 |

Derivative |

d/dy(4 y y) = 8 y |

Indefinite integral |

integral 4 y^2 dy = (4 y^3)/3 + constant |

Global minimum |

min{4 y y} = 0 at y = 0 |