# Y=x-x^2

Input |
---|

y = x – x^2 |

Geometric figure |

parabola |

Derivative |

(d)/(dx)(x – x^2) = 1 – 2 x |

Global maximum |

max{x – x^2} = 1/4 at x = 1/2 |

Input |
---|

y = x – x^2 |

Geometric figure |

parabola |

Derivative |

(d)/(dx)(x – x^2) = 1 – 2 x |

Global maximum |

max{x – x^2} = 1/4 at x = 1/2 |