# Comments:LaTeX-code for the most common formulas

If you have somewhere a very long formula, please share it with us. This will save time for everybody!

## Design-Tip

• A space before the formula leeds to the box around the line.
• Don't hesitate it is not looking so good. That can be done by anybody else.
• An easy solution to get the same look is to copy the lines of an other formula for you formula.

## How to use the formulas

Just copy the text in the dotted box into you text-input-box. If the formula should be dynamic you need to insert the object at the place of the variable that is used here.

## Formulas

• 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}
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)
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::""
f(x)\; =\; a(x\; -\; h)^3\; +\; k

f(x)\; =\; a(x\; -\; h)^3\; +\; k
• ""Basic Trigonometry::""
sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c)

sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c)
• ""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}\$
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