MAT1360 Classwork 1



MAT 1235 Handout 6.4* General Log and Exp

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|For [pic], [pic] a rational number, |

|[pic] |

Definition [pic] for all[pic].

Extended Property of [pic]: [pic] for all[pic].

Properties

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|[pic] |[pic] |

Derivatives & Antiderivatives

[pic]

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|[pic] |

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Example 1 Let [pic]. Find [pic].

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|[pic] |

Example 2 Let [pic]. Find [pic].

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|[pic] |

Example 3 Let [pic]. Find [pic].

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Definition For [pic], [pic], [pic] is defined as the inverse function of [pic].

Derivatives & Antiderivatives

[pic]

Example 4 Let [pic]. Find [pic].

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|[pic] |

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