Added Ableitungs Tabelle and NII and Gyrator ESD

src/cheatsheets/Analysis1.typ

@@ -1,5 +1,6 @@
 #import "@preview/mannot:0.3.1"
 
+#import "../lib/ableitungs_tabelle.typ" : *
 #import "../lib/common_rewrite.typ" : *
 #import "../lib/mathExpressions.typ" : *
 
@@ -519,47 +520,7 @@
   // Ableitungstabelle
   #block([
     #set text(size: 7pt)
-    #table(
-      align: horizon, 
-      columns: (auto, auto, auto),
-      table.header([*$F(x)$*], [*$f(x)$*], [*$f'(x)$*]),
-      row-gutter: 1mm,
-      inset: 1.4mm,
-      fill: (x, y) => if calc.rem(x, 3) == 0 { color.hsl(180deg, 89.47%, 88.82%) }
-        else if calc.rem(x, 3) == 1 { color.hsl(180deg, 100%, 93.14%) } else 
-          { color.hsl(180deg, 81.82%, 95.69%) },
-      [$1/(q + x) x^(q+1)$], [$x^q$], [$q x^(q-1)$],
-      [$ln abs(x)$], [$1/x$], [$-1/x^2$],
-      [$x ln(a x) - x$], [$ln(a x)$], [$a / x$],
-      [$2/3 sqrt(a x^3)$], [$sqrt(a x)$], [$a/(2 sqrt(a x))$],
-      [$e^x$], [$e^x$], [$e^x$],
-      [$a^x/ln(a)$], [$a^x$], [$a^x ln(a)$],
-      $-cos(x)$, $sin(x)$, $cos(x)$,
-      $sin(x)$, $cos(x)$, $-sin(x)$,
-      $-ln abs(cos(x))$, $tan(x)$, $1/(cos(x)^2)$,
-      $ln abs(sin(x))$, $cot(x)$, $-1/(sin(x)^2)$,
-
-      [$x arcsin(x) + sqrt(1 - x^2)$],
-      [$arcsin(x)$], [$1/sqrt(1 - x^2)$],
-
-      [$x arccos(x) - sqrt(1 - x^2)$],
-      [$arccos(x)$], [$-1/sqrt(1 - x^2)$],
-
-      [$x arctan(x) - 1/2 ln abs(1 + x^2)$],
-      [$arctan(x)$], [$1/(1 + x^2)$],
-
-      [$x op("arccot")(x) + 1/2 ln abs(1 + x^2)$],
-      [$op("arccot")(x)$], [$-1/(1 + x^2)$],
-
-      [$x op("arsinH")(x) + sqrt(1 + x^2)$],
-      [$op("arsinH")(x)$], [$1/sqrt(1 + x^2)$],
-
-      [$x op("arcosH")(x) + sqrt(1 + x^2)$],
-      [$op("arcosH")(x)$], [$1/sqrt(x^2-1)$],
-
-      [$x op("artanH")(x) + 1/2 ln(1 - x^2)$],
-      [$op("artanH")(x)$], [$1/(1 - x^2)$],
-    )
+    #ableitungsTabelle
   ])
 
   // Extremstellen, Krümmung, Monotonie