# 1/2kx^2 what is k

Input |
---|

1/2 k x^2 k |

Result |

(k^2 x^2)/2 |

Geometric figure |

parabola |

Polynomial discriminant |

Delta = 0 |

Derivative |

(d)/(dx)(1/2 k x^2 k) = k^2 x |

Indefinite integral |

integral (k^2 x^2)/2 dx = (k^2 x^3)/6 + constant |

Global minimum |

min{1/2 k x^2 k} = 0 at k = 0 |

Definite integral over a disk of radius R |

integral integral_(k^2 + x^2 |