Difference between revisions of "Comments:LaTeX-code for the most common formulas"
From GeoGebra Manual
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| m=\frac{y_2-y_1}{x_2-x_1} | | m=\frac{y_2-y_1}{x_2-x_1} | ||
| <math>m=\frac{y_2-y_1}{x_2-x_1}</math> | | <math>m=\frac{y_2-y_1}{x_2-x_1}</math> | ||
+ | |- | ||
+ | | Slope for a straight line (2) | ||
+ | | m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B} | ||
+ | | <math> m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B}</math> | ||
|- | |- | ||
| Compound Interest | | Compound Interest |
Revision as of 22:13, 1 March 2012
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.
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} |
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 |
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} | |