# Difference between revisions of "Comments:LaTeX-code for the most common formulas"

From GeoGebra Manual

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− | ''If you have somewhere a very long formula, please share it with us. This will save time for everybody!'' | + | ''If you have somewhere a very long formula, please share it with us. This will save time for everybody!'' Just edit this page and paste you code at inside the input-box, if you don't know how to format it correctly. |

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==How to use the formulas== | ==How to use the formulas== | ||

− | Just copy the text | + | Just copy the text from the column '''LaTex Input''' into your text-object input-box. If the formula should be dynamic you need to insert the object instead of the variables that are used here. |

==Useful Formulas== | ==Useful Formulas== |

## Revision as of 15:33, 6 October 2011

*If you have somewhere a very long formula, please share it with us. This will save time for everybody!* Just edit this page and paste you code at inside the input-box, if you don't know how to format it correctly.

## How to use the formulas

Just copy the text from the column **LaTex Input** into your text-object input-box. If the formula should be dynamic you need to insert the object instead of the variables that are used here.

## Useful Formulas

Usage | LaTex Input | LaTex Output |
---|---|---|

Slope for a straight line | m=\frac{y_2-y_1}{x_2-x_1} | m=\frac{y_2-y_1}{x_2-x_1} |

Compound Interest | Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time\; \cdot\; periods} | Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time\; \cdot\; periods} |

Slope for a straight line | m=\frac{y_2-y_1}{x_2-x_1} | m=\frac{y_2-y_1}{x_2-x_1} |

Quadratic Equation | a x^2\; +\; b x\; +\; c\; =\; 0 | a x^2\; +\; b x\; +\; c\; =\; 0 |

Vertex Form | f(x)\; =\; a(x\; -\; h)^2\; +\; k | f(x)\; =\; a(x\; -\; h)^2\; +\; k |

Factored Form | f(x)\; =\; (x\; +\; a)\;(x\; +\; b) | f(x)\; =\; (x\; +\; a)\;(x\; +\; b) |

Quadratic Formula | x\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a} | x\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a} |

Cubic Equation | a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0 | a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0 |

Cubic Vertex Form | a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0 | a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0 |

Basic Trigonometry Forms | \sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c) | \sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c) |

f(x)\; =\; a\; \sin\; b\;(x\; -\; h)\; +\; k | f(x)\; =\; a\; \sin\; b\;(x\; -\; h)\; +\; k | |

f(x)\; =\; a\; sin\; (B x + C) + k | f(x)\; =\; a\; \sin\; (B x + C) + k | |

b\;(x\; -\; h)\; = B\; \left( x\; -\; \frac {-C}{B} \right) | b\;(x\; -\; h)\; = B\; \left( x\; -\; \frac {-C}{B} \right) | |

h\; = \frac {-C}{B} | h\; = \frac {-C}{B} | |

Limit forms | \lim\limits_{\substack{x \to ? \\x > ?} } | \lim\limits_{\substack{x \to ? \\x > ?} } |

\lim\limits_{\substack{x \to ? \\x < ?} } | \lim\limits_{\substack{x \to ? \\x < ?} } | |

\lim\limits_{x \to \infty} | \lim\limits_{x \to \infty} | |