Ableitungsregeln

Ableitungsregeln An1I

Ableitungsregeln An1I

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Set of flashcards Details

Flashcards	18
Language	Deutsch
Category	Maths
Level	University
Created / Updated	28.12.2017 / 01.02.2021
Weblink	https://card2brain.ch/box/20171228_ableitungsregeln
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\(x^a\)

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\(a*x^{a-1}\)

\(1\)

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0

x

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1

\(x^2\)

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2x

\(1 \over x\)

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\(- 1\over x^2\)

\(\sqrt x\)

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\(1 \over 2*\sqrt{x}\)

\(e^x\)

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\(e^x\)

\(a^x\)

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\(\ln(a)*a^x\)

\(\ln(x)\)

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\(1 \over x\)

\(\log(x)\)

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\(1 \over \log(b)*x\)

\(sin(x)\)

\(cos(x)\)

\(cos(x)\)

\(-sin(x)\)

\(tan(x)\)

\(1 \over{cos^2(x)}\\ oder \\ 1+tan^2(x) \)

\({d \over dx}(f(x) + g(x))\)

\(f'(x) + g'(x)\)

\({d \over dx}(f(x)*g(x))\)

\(f'(x)*g(x)+f(x)*g'(x)\)

\({d \over dx}(c*f(x))\)

\(c*f'(x)\)

\({d \over dx} (f(g(x)))\)

\(f'(g(x))*g'(x)\)

\({d \over dx}({f(x) \over g(x)})\)

\({f'(x)*g(x)-f(x)*g'(x) \over (g(x))^2}\)

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