From 701b3ec932d9138e882e6bc2e3494a77ffd6c82d Mon Sep 17 00:00:00 2001 From: alexander Date: Mon, 15 Dec 2025 20:19:09 +0100 Subject: [PATCH] Something idk --- src/Analysis_rewrite.typ | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/src/Analysis_rewrite.typ b/src/Analysis_rewrite.typ index 137feaf..b1bee0b 100644 --- a/src/Analysis_rewrite.typ +++ b/src/Analysis_rewrite.typ @@ -248,6 +248,11 @@ - $f(x)$ ist an der Stelle $x_0 in DD$ diffbar wenn \ #MathAlignLeft($ f'(x_0) = lim_(x->x_0 plus.minus) (f(x_0 + h - f(x_0))/h) $) - $f(x)$ diffbar $=>$ $f(x)$ stetig + - Tangente an $x_0$: $f(x_0) + f'(x_0)(x - x_0)$ + - Beste #underline([linear]) Annäherung + - 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 $ + + *Ableitung Regeln* #grid( row-gutter: 3mm, @@ -267,7 +272,9 @@ [$f(x) = c : f'(x) = 0$], [$c dot f(x) : c dot f'(x)$], [$(x^(-n)) n in NN : n x^(n-1)$], + [$e^(x) : e^(x)$], ) + - Kettenregel: $f(g(x)) : f'(g(x)) dot g'(x)$ ] #colbreak()