# Cubed root of x

Input |
---|

cuberoot(x) |

Result |

x^(1/3) |

Alternate form assuming x>0 |

x^(1/3) |

Root |

x = 0 |

Series expansion at x=0 |

piecewise | piecewise | -(-x)^(1/3) + O(x^13) | Im(x)<=0 -(-x)^(1/3)^* + O(x^13) | (otherwise) | x<=0 x^(1/3) + O(x^(37/3)) | (otherwise) |

Series expansion at x=∞ |

piecewise | x^(1/3) + O((1/x)^(37/3)) | 1/x>0 -(-x)^(1/3) + O((1/x)^13) | (otherwise) |

Derivative |

d/dx(cuberoot(x)) = 1/(3 x^(1/3)^2) |

Indefinite integral |

integral cuberoot(x) dx = (3 x x^(1/3))/4 + constant |