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Calc. Quick review

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# Calc. Quick review

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

d/dx (f*g)= | f'*g + f*g' |

d/dx (f/g)= | (f'*g - f*g')/g^2 |

d/dx [f(g)] = | f'(g) * g' |

d/dx (x^n) = | nx^-1 |

d/dx (sin x) = | cos x |

d/dx (cos x) = | -sin x |

d/dx (tan x) = | sec^2(x) |

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

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

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

d/dx (e^x) | e^x |

d/dx (a^x) | (ln(a))a^x |

d/dx (log(base a)^x) | 1/(ln a) * x |

Area of a rectangle | A=bh |

Area of a triangle | A=1/2 (b)(h) |

Area of a circle | A=pi r^2 |

Circumference of a circle | 2(pi)r |

Volume of a sphere | V= 3/4(pi)r^(3) |

Area of a sphere | 4(pi)r^2 |

Volume of a cylinder | V=(pi)r^2 |

Area of a cylinder | 2(pi)rh + 2(pi)r^2 |

<img src="http://www.danlemay.net/oxbow/images/study_stacks/def%20of%20e2.png"> | the derivative of y=e^x at x = 2 |

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Lestrade