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# Chapter two derviati

Question | Answer |
---|---|

sin(x+y) | Sin(x)cos(y)+cos(x)sin(y) |

cos(x-y) | cos(x)cos(y)-sin(x)sin(y) |

d/dx csc(x) | -csc(x)cot(x) |

d/dx sec(x) | sec(x)tan(x) |

d/dx cot(x) | -csc^2(x) |

d/dx arcsin(x) | 1/sqrt(1-x^2) |

d/dx arccos(x) | -(1/sqrt(1-x^2)) |

d/dx arctan(x) | 1/1+x^2 |

arccsc(x) | -(1/x*squrt(x^2-1)) |

d/dx arcsec(x) | -(1/x*squrt(x^2-1)) (1/x*squrt(x^2-1)) |

arccot(x)d/dx | (1/1+x^2) |

d/dx log<a>(x) | 1/x*ln(a)) |

d/dx e^(f(x)) | f'(x)*e^(f(x)) |

lim(x goes to zero)sin(x)/x | 1 |

lim(x goes to zero)cos(x)-1/x | 0 |

Created by:
jtt350