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

From GeoGebra Manual

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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. | 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. | ||

==Preview== | ==Preview== | ||

− | + | Examples in GeoGebra [https://www.geogebra.org/m/jvXBfFY6 https://www.geogebra.org/m/jvXBfFY6] | |

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

## Latest revision as of 10:54, 11 January 2020

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 use the wiki-code 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.

## Preview

Examples in GeoGebra https://www.geogebra.org/m/jvXBfFY6

## Useful Formulas

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

Square-root symbol | \sqrt{x} | \sqrt{x} |

Fractions | \frac{a}{b+c} | \frac{a}{b+c} |

\left( and \right) for large brackets | \left( \frac{a}{b} \right) ^{2} | \left( \frac{a}{b} \right) ^{2} |

Use \textcolor for color | x^{\textcolor{#FF00FF}{2}} | |

Use \cr for a line break | x=3 \cr y=2 | \begin{array} x=3 \\ y=2 \end{array} |

Use \text{ } to mix text and expressions | \text{Roots of }ax^2 + bx + c= 0\text{ are }x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} | \text{Roots of }ax^2 + bx + c= 0 \text{ are } x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} |

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} |

Slope for a straight line (2) | m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B} | m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B} |

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} |

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

Simplified Quadratic Equation | x^2 + p x + q = 0 | x^2 + p x + q = 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} |

Quadratic Formula | x_{1/2} = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} | x_{1/2} = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} |

Quadratic Formula for Simplified Quadratic Equation | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} |

Quadratic Formula for Simplified Quadratic Equation | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} | x_{1/2} = - \frac{p}{2}{ \pm \sqrt { \frac{p^2}{4} - q}} |

Cubic Equation | 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 (corrected to work in HTML5 as well as Java) | \lim_{x \to \infty} \left( \frac{1}{x} \right) | \lim_{x \to \infty} \left( \frac{1}{x} \right) |

Distance Formula | \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} | \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} |

## Text formatting

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

Text with spacing | \text{some words with spaces} | \text{some words with spaces} |

Italic text | \mathit{italic text} | \mathit{italic text} |

Bold text | \mathbf{bold text} | \mathbf{bold text} |