# 3(x+h)^2

Input |
---|

3 (x + h)^2 |

Geometric figure |

parabola |

Expanded form |

3 h^2 + 6 h x + 3 x^2 |

Real root |

x = -h |

Root |

x = -h |

Polynomial discriminant |

Delta = 0 |

Derivative |

(d)/(dx)(3 (x + h)^2) = 6 (h + x) |

Indefinite integral |

integral 3 (h + x)^2 dx = (h + x)^3 + constant |

Global minima |

min{3 (x + h)^2} = 0 for x = -h |