From d63719dcbe1307c5fbc8c9e9bffb9fe9a55be043 Mon Sep 17 00:00:00 2001 From: Erik Grobecker Date: Thu, 21 Nov 2024 20:51:31 +0100 Subject: [PATCH] Mathe am 21.11.2024 --- INDEX.md | 11 ++-- schule/mathe/MA_2024-11-21.typ | 78 ++++++++++++++++++++++++++++ schule/mathe/pdfs/MA_2024-11-21.pdf | Bin 0 -> 33177 bytes 3 files changed, 84 insertions(+), 5 deletions(-) create mode 100644 schule/mathe/MA_2024-11-21.typ create mode 100644 schule/mathe/pdfs/MA_2024-11-21.pdf diff --git a/INDEX.md b/INDEX.md index 4161e23..bc56037 100644 --- a/INDEX.md +++ b/INDEX.md @@ -71,11 +71,12 @@ Hier wird nach Fächern sortiert und für diese einzelne Tabellen erstellt. ## Mathe -| Thema | Datum | Link | -| ----- | ---------- | --------------------------------------------- | -| | 30.09.2024 | [hier](./schule/mathe/pdfs/MA_2024-09-30.pdf) | -| | 28.10.2024 | [hier](./schule/mathe/pdfs/MA_2024-10-28.pdf) | -| | 31.10.2024 | [hier](./schule/mathe/pdfs/MA_2024-10-31.pdf) | +| Thema | Datum | Link | +| ------------------------------------------------- | ---------- | --------------------------------------------- | +| | 30.09.2024 | [hier](./schule/mathe/pdfs/MA_2024-09-30.pdf) | +| | 28.10.2024 | [hier](./schule/mathe/pdfs/MA_2024-10-28.pdf) | +| | 31.10.2024 | [hier](./schule/mathe/pdfs/MA_2024-10-31.pdf) | +| **$e$-Funktionen**: Letzte Stunde vor der Klausur | 21.11.2024 | [hier](./schule/mathe/pdfs/MA_2024-11-21.pdf) | ## Philosophie diff --git a/schule/mathe/MA_2024-11-21.typ b/schule/mathe/MA_2024-11-21.typ new file mode 100644 index 0000000..6f82f68 --- /dev/null +++ b/schule/mathe/MA_2024-11-21.typ @@ -0,0 +1,78 @@ +#import "@preview/grape-suite:1.0.0": exercise +#import exercise: project, task, subtask + +#set text(lang: "de") + +#show: project.with( + title: [Letzte Stunde vor der Klausur], + seminar: [Mathe Q2], + show-outline: true, + author: "Erik Grobecker", + date: datetime(day: 18, month: 11, year: 2024), + show-solutions: false, +) + +#show math.equation: set text(font: "New Computer Modern Math") + += Wiederholung Kettenregel + +Volle Ausschreibung der Kettenregel: +$ + f(x)&=e^(2x+4)\ + &= #text(green, $ underbrace(e, "äußere Funtkion") $)^( #text(red, $ overbrace(2x+4, "innere Funtkion")$))\ + &=g(t(x))\ + #text(green, $g(u)&=e^u #h(1em) "(äußere Funkion)"$)\ + #text(red, $t(x)&=2x+4 #h(1em) "(innere Funktion)"$)\ + f'(x)&=g'(t(x)) dot t'(x)\ + g'(u)&=e\ + g'(t(x))&=e^(2x+4)\ + t'(x)&=2\ + f'(x)&=e^(2x+4) dot 2 +$ + +asd: +$ + f(x)&=-e^(-x)\ + g(u)&=-e^u\ + t(x)&=-x\ + \ + g'(u)&= -e\ + g'(t(x))&=-e^(-x)\ + t'(x)&= -1\ + \ + f'(x)&=-e^(-x) dot (-1)\ + &=e^(-x) +$ + +$g$=äußere\ +$t$=innere + +#pagebreak() + += Sachaufgaben +(S. 113 Nr. 1a) + +// siehe "MA_2024-11-11.typ" +#table( + columns: (auto, auto, auto, auto, auto, auto, auto), + + + [$n$], [0], [1], [2], [3], [4], [5], + + [$B(n)$], [28], [35], [44], [58], [70], [90], + + [$B(n)/B(n-1)$], + [], + [$#calc.abs(35/28)$], + [$#calc.round(calc.abs(44/35), digits: 2)$], + 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