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| mathjax [2016/05/03 16:39] – Deleted by move plugin Sam K | mathjax [2022/10/04 11:38] (current) – external edit 127.0.0.1 | ||
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| + | ====== MathJax Syntax ====== | ||
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| + | 1. $a^2 + b^2 = c^2$ | ||
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| + | 2. $ax^2 + bx + c = 0$ | ||
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| + | 3. $x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ | ||
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| + | 4. $m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{\Delta y}{\Delta x}$ | ||
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| + | 5. $f'(x) = \lim\limits_{\Delta x \to 0} \dfrac{f(x+\Delta x)-f(x)}{\Delta x}$ | ||
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| + | 6. $\dfrac{d}{dx} \left [[x^n \right ] = nx^{n - 1}$ | ||
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| + | 7. $\int_a^b f(x)~dx = \left [[F(x) \right ]_a^b = F(b) - F(a)$ | ||
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| + | 8. $\int_a^b f(x)~dx = f(c)(b - a)$ | ||
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| + | 9. $\text{average value} = \dfrac{1}{(b-a)} \int_a^b f(x)~dx$ | ||
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| + | 10. $\dfrac{d}{dx} \left [[\int_a^x f(t)~dt \right ] = f(x)$ | ||
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| + | ==== Code for the above formulas ==== | ||
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| + | 1 . $a^2 + b^2 = c^2$ | ||
| + | 2 . $ax^2 + bx + c = 0$ | ||
| + | 3 . $x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ | ||
| + | 4 . $m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{\Delta y}{\Delta x}$ | ||
| + | 5 . $f'(x) = \lim\limits_{\Delta x \to 0} \dfrac{f(x+\Delta x)-f(x)}{\Delta x}$ | ||
| + | 6 . $\dfrac{d}{dx} \left [[x^n \right ] = nx^{n - 1}$ | ||
| + | 7 . $\int_a^b f(x)~dx = \left [[F(x) \right ]_a^b = F(b) - F(a)$ | ||
| + | 8 . $\int_a^b f(x)~dx = f(c)(b - a)$ | ||
| + | 9 . $\text{average value} = \dfrac{1}{(b-a)} \int_a^b f(x)~dx$ | ||
| + | 10 . $\dfrac{d}{dx} \left [[\int_a^x f(t)~dt \right ] = f(x)$ | ||