# 128 cubed root

Input |
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128 x^(1/3) |

Root |

x = 0 |

Derivative |

d/dx(128 x^(1/3)) = 128/(3 x^(2/3)) |

Indefinite integral |

integral 128 x^(1/3) dx = 96 x^(4/3) + constant |

Global minimum |

min{128 x^(1/3)} = 0 at x = 0 |

Series representation |

128 x^(1/3) = sum_(n=0)^infinity (-1 + x)^n 128 binomial(1/3, n) for abs(1 – x)<1 |