102 lines
4.9 KiB
Markdown
102 lines
4.9 KiB
Markdown
# Abitur Formelsammlung
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![[Pasted image 20250129145851.png]]
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![[Pasted image 20250129145815.png]]
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![[Pasted image 20250129145414.png]]
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![[Pasted image 20250129145429.png]]
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![[Pasted image 20250129150805.png]]
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![[Pasted image 20250129145448.png]]![[Pasted image 20250129145519.png]]
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![[Pasted image 20250129145542.png]]
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![[Pasted image 20250129145705.png]]![[Pasted image 20250129145737.png]]
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![[Pasted image 20250129145808.png]]
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![[Pasted image 20250129151224.png]]
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![[Pasted image 20250129151253.png]]
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![[Pasted image 20250129151400.png]]
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![[Pasted image 20250129151412.png]]![[Pasted image 20250129151420.png]]
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![[Pasted image 20250129151434.png]]
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![[Pasted image 20250129151453.png]]
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![[Pasted image 20250129151519.png]]
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![[Pasted image 20250129151533.png]]
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![[Pasted image 20250129151607.png]]![[Pasted image 20250129151617.png]]
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![[Pasted image 20250129151642.png]]
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![[Pasted image 20250129152238.png]]
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![[Pasted image 20250129152252.png]]![[Pasted image 20250129152305.png]]
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# Andere Formelsammlung
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![[Pasted image 20250129153234.png]]
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![[Pasted image 20250129153153.png]]
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![[Pasted image 20250129153252.png]]![[Pasted image 20250129153311.png]]
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![[Pasted image 20250129153348.png]]
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![[Pasted image 20250129154319.png]]
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![[Pasted image 20250129154420.png]]
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![[Pasted image 20250129154530.png]]
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# Nochmal andere Formelsammlung
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https://www.plus.ac.at/wp-content/uploads/2021/02/Formelsammlung_-_Mathematik_1_und_2.pdf
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![[Pasted image 20250129160307.png]]
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![[Pasted image 20250129160341.png]]
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![[Pasted image 20250129160415.png]]
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![[Pasted image 20250129160505.png]]
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![[Pasted image 20250129155453.png]]
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![[Pasted image 20250129155525.png]]
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![[Pasted image 20250129155709.png]]
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![[Pasted image 20250129155755.png]]
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![[Pasted image 20250129155804.png]]
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![[Pasted image 20250129155844.png]]
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![[Pasted image 20250129160005.png]]
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![[Pasted image 20250129160017.png]]
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![[Pasted image 20250129160200.png]]
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![[Pasted image 20250129160211.png]]
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![[Pasted image 20250129160113.png]]
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# Nochmal was anderes
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https://mmf.univie.ac.at/fileadmin/user_upload/p_mathematikmachtfreunde/Materialien/Formelsammlung-Angewandte_Mathematik.pdf
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![[Pasted image 20250129160902.png]]
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![[Pasted image 20250129161140.png]]
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![[Pasted image 20250129161224.png]]
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---
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# Chatgpt
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![[Pasted image 20250129153437.png]]https://chatgpt.com/share/679a3c80-ac54-8006-a47c-8e96230a1210
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---
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# Vorherige Formelsammlungen
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### Ableitungen
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>Nicht Aufgelistet sind Ableitung die trivial sind.
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| **$f(x)$** | **$f'(x)$** | **$F(x)$** |
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| ------------------- | ---------------------------------------------------- | ---------------------------------------------------------------- |
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| $x^n$ | $n \cdot x^{n-1}$ | $\frac{x^{n+1}}{n+1} + C$ |
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| $c \cdot f(x)$ | $c \cdot f'(x)$ | $c \cdot \int f(x)\,dx + C$ |
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| $f(x) \cdot g(x)$ | $f'(x) \cdot g(x) + f(x) \cdot g'(x)$ | $\int f(x)g(x)\,dx + C$ |
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| $\frac{f(x)}{g(x)}$ | $\frac{f'(x) \cdot g(x) - f(x) \cdot g'(x)}{g(x)^2}$ | $\int \frac{f(x)}{g(x)}\,dx + C$ |
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| $f(g(x))$ | $f'(g(x)) \cdot g'(x)$ | $\int f(g(x))\,dx + C$ |
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| $\ln(x)$ | $\frac{1}{x}$ | $x \ln(x) - x + C$ |
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| $\ln(a \cdot x)$ | $\frac{1}{x}$ | $x \ln(a x) - x + C$ |
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| $\ln(g(x))$ | $\frac{g'(x)}{g(x)}$ | $x \ln(g(x)) - \int \frac{x g'(x)}{g(x)}\,dx + C$ |
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| $\log_a(x)$ | $\frac{1}{x \cdot \ln(a)}$ | $\frac{x \ln(x) - x}{\ln(a)} + C$ |
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| $\log_b(g(x))$ | $\frac{g'(x)}{g(x) \cdot \ln(b)}$ | $\frac{x \ln(g(x)) - \int \frac{x g'(x)}{g(x)}\,dx}{\ln(b)} + C$ |
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| $a^x$ | $a^x \cdot \ln(a)$ | $\frac{a^{x}}{\ln(a)} + C$ |
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| $\sqrt{x}$ | $\frac{1}{2\sqrt{x}}$ | $\frac{2}{3} x^{3/2} + C$ |
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| $\sin(x)$ | $\cos(x)$ | $-\cos(x) + C$ |
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| $\cos(x)$ | $-\sin(x)$ | $\sin(x) + C$ |
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| $\tan(x)$ | $\frac{1}{\cos^2(x)}$ | $-\ln ( \| \cos(x) \|) + C$ |
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# O1 Formelsammlung |