# Derivative of 9e^x

Derivative |
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d/dx(9 e^x) = 9 e^x |

Roots |

(no roots exist) |

Periodicity |

periodic in x with period 2 i pi |

Series expansion at x=0 |

9 + 9 x + (9 x^2)/2 + (3 x^3)/2 + (3 x^4)/8 + O(x^5) (Taylor series) |

Indefinite integral |

integral 9 e^x dx = 9 e^x + constant |

Limit |

lim_(x->-infinity) 9 e^x = 0 |

Definite integral |

integral_(-infinity)^0 9 e^x dx = 9 |

Definite integral over a half-period |

integral_0^(i pi) 9 e^x dx = -18 |