Something idk
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@@ -248,6 +248,11 @@
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- $f(x)$ ist an der Stelle $x_0 in DD$ diffbar wenn \
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#MathAlignLeft($ f'(x_0) = lim_(x->x_0 plus.minus) (f(x_0 + h - f(x_0))/h) $)
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- $f(x)$ diffbar $=>$ $f(x)$ stetig
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- Tangente an $x_0$: $f(x_0) + f'(x_0)(x - x_0)$
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- Beste #underline([linear]) Annäherung
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- Tangente $t(x)$ von $f(x)$ an der Stelle $x_0$: $ lim_(x->0) (f(x) - f(x_0))/(x-x_0) -f'(x_0) =0 $
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*Ableitung Regeln*
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#grid(
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row-gutter: 3mm,
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@@ -267,7 +272,9 @@
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[$f(x) = c : f'(x) = 0$],
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[$c dot f(x) : c dot f'(x)$],
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[$(x^(-n)) n in NN : n x^(n-1)$],
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[$e^(x) : e^(x)$],
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)
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- Kettenregel: $f(g(x)) : f'(g(x)) dot g'(x)$
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]
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#colbreak()
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