diff --git a/src/cheatsheets/Analysis1.typ b/src/cheatsheets/Analysis1.typ
index ac86ac6..8a899f2 100644
--- a/src/cheatsheets/Analysis1.typ
+++ b/src/cheatsheets/Analysis1.typ
@@ -5,7 +5,7 @@
 #show math.sum: it => math.limits(math.sum)
 #let lim = $limits("lim")$
 
-#set text(7pt)
+#set text(7.5pt)
 
 #set page(
   paper: "a4", 
@@ -43,7 +43,7 @@
 #let colorIntegral = color.hsl(34.87deg, 92.13%, 75.1%)
 
 
-#columns(4, gutter: 2mm)[
+#columns(5, gutter: 2mm)[
 
   // Allgemeiner Shit
   #bgBlock(fill: colorAllgemein)[
@@ -90,6 +90,16 @@
       [
         *Fakultäten* $0! = 1! = 1$ \
       ],
+      [
+        *Mitternachtsformel*
+        $x_(1,2) =  (-b plus.minus sqrt(b^2 + 4a c))/(2a)$
+      ],
+      [
+        *Binomische Formel*\
+        $(a + b)^2 = a^2 + 2a b + b^2$\
+        $(a - b)^2 = a^2 - 2a b + b^2$\
+        $(a + b)(a - b) = a^2 - b^2$\
+      ]
     )
   ]
 
@@ -511,14 +521,15 @@
 
   // Ableitungstabelle
   #block([
-    #set text(size: 10pt)
+    #set text(size: 7pt)
     #table(
       align: horizon, 
-      columns: (1fr, 1fr, 1fr),
+      columns: (auto, auto, auto),
       table.header([*$F(x)$*], [*$f(x)$*], [*$f'(x)$*]),
       row-gutter: 1mm,
-      fill: (x, y) => if x == 0 { color.hsl(180deg, 89.47%, 88.82%) }
-        else if x == 1 { color.hsl(180deg, 100%, 93.14%) } else 
+      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%) },
       [$1/(q + x) x^(q+1)$], [$x^q$], [$q x^(q-1)$],
       [$ln abs(x)$], [$1/x$], [$-1/x^2$],
@@ -526,6 +537,10 @@
       [$2/3 sqrt(a x^3)$], [$sqrt(a x)$], [$a/(2 sqrt(a x))$],
       [$e^x$], [$e^x$], [$e^x$],
       [$a^x/ln(a)$], [$a^x$], [$a^x ln(a)$],
+      $-cos(x)$, $sin(x)$, $cos(x)$,
+      $sin(x)$, $cos(x)$, $-sin(x)$,
+      $-ln abs(cos(x))$, $tan(x)$, $1/(cos(x)^2)$,
+      $ln abs(sin(x))$, $cot(x)$, $-1/(sin(x)^2)$,
 
       [$x arcsin(x) + sqrt(1 - x^2)$],
       [$arcsin(x)$], [$1/sqrt(1 - x^2)$],
@@ -536,16 +551,16 @@
       [$x arctan(x) - 1/2 ln abs(1 + x^2)$],
       [$arctan(x)$], [$1/(1 + x^2)$],
 
-      [$x op("arccot")(x) + \ 1/2 ln abs(1 + x^2)$],
+      [$x op("arccot")(x) + 1/2 ln abs(1 + x^2)$],
       [$op("arccot")(x)$], [$-1/(1 + x^2)$],
 
-      [$x op("arsinH")(x) + \ sqrt(1 + x^2)$],
+      [$x op("arsinH")(x) + sqrt(1 + x^2)$],
       [$op("arsinH")(x)$], [$1/sqrt(1 + x^2)$],
 
-      [$x op("arcosH")(x) + \ sqrt(1 + x^2)$],
+      [$x op("arcosH")(x) + sqrt(1 + x^2)$],
       [$op("arcosH")(x)$], [$1/sqrt(x^2-1)$],
 
-      [$x op("artanH")(x) + \ 1/2 ln(1 - x^2)$],
+      [$x op("artanH")(x) + 1/2 ln(1 - x^2)$],
       [$op("artanH")(x)$], [$1/(1 - x^2)$],
     )
   ])
@@ -691,24 +706,58 @@
     $abs(f(x)) <= g(x) => $ $f(x)$ konvergent
   ])
 
+  #bgBlock(fill: colorIntegral, [
+    #subHeading(fill: colorIntegral)[Partial-Bruch-Zerlegung]
+    Form: $integral "Zähler Polynom"/"Nenner Polynom"$,
+    $deg("Nenner") < deg("Zähler")$
+    1. $deg("Zähler") >= deg("Nenner") ->$ *Polynomdivision*
+    2. *Faktorisieren des Nenners (Nst finden)*, \
+      Polynomdivision, Raten, Binomische Formel \
+      Resulat: $N = (x - x_0)^(n_0+)(x - x_1)^(n_1)... (x^2+b x + c)^(m_1)$
+    3. *Ansatz:* $A$\
+      $(x-x_0)^n -> A/((x - x_0)^n) + B/((x - x_0)^(n-1)) ... + C/(x - x_0)$\
+      $(x^2 + b x + c)^n -> (A x + B)/((x^2 + b x + c)^n) ... + (C x + D)/((x^2 + b x + c)^1) $
+
+    4. *Durchmul.* $"Ansatz" dot 1/("Fakt. Nenner") = "Zähler"$
+    5. $A,B,...$ :
+      Nst einsetzen, dann Koeffizientenvergleich
+    6. *Intergral wiederzusammen setzen $+c$*
+    7. Summen teile Integrieren
+
+    $delta = 4a - b^2$
+    #grid(columns: (auto, auto),
+      row-gutter: 2mm,
+      column-gutter: 2mm,
+      $integral 1/(x - x_0)$, $ln abs(x - x_0)$,
+      $integral 1/((x - x_0)^n)$, $-1/((n-1)(x-x_0)^(n-1))$,
+      $integral 1/(x^2 + b x + c)$, $2/sqrt(delta) arctan((2x + b)/sqrt(delta))$,
+      $integral 1/((x^2 + b x + c)^n)$, $(2x + b)/((n-1)(sigma)(x^2+b x +c)^(n-1)) + \
+        (2(2n-3))/((n-1)(delta)) + (C )
+      $,
+    )
+
+
+
+  ])
+
   #bgBlock(fill: colorAllgemein, [
     #subHeading(fill: colorAllgemein, [Sin-Table])
     #sinTable
   ])
 
   #bgBlock(fill: colorAllgemein, [
-    #subHeading(fill: colorAllgemein)[Bedingungen]
+    #subHeading(fill: colorAllgemein)[Notwending und Hinreiched]
 
     #grid(columns: (1fr, 1fr),
       gutter: 2mm,
       inset: (left: 2mm, right: 2mm),
-      $not "notwending" => not "Satz"$,
-      $"hinreichend" => "Satz"$,
-      $"Satz" => forall "notwending" $,
-      $not "Satz" => forall not "hinreichend" $,
+      $not "not." => not "Satz"$,
+      $"hin." => "Satz"$,
+      $"Satz" => forall "not." $,
+      $not "Satz" => forall not "hin." $,
 
-      $"notwending" arrow.r.double.not "Satz"$,
-      $not "hinreichend" arrow.r.double.not "Satz"$,
+      $"not." arrow.r.double.not "Satz"$,
+      $not "hin." arrow.r.double.not "Satz"$,
     )
   ])
 ]
diff --git a/src/cheatsheets/Digitaltechnik.typ b/src/cheatsheets/Digitaltechnik.typ
index 7a16d94..b6f2e77 100644
--- a/src/cheatsheets/Digitaltechnik.typ
+++ b/src/cheatsheets/Digitaltechnik.typ
@@ -186,7 +186,31 @@
   ]
 
   #bgBlock(fill: colorRealsierung)[
-    #subHeading(fill: colorRealsierung)[CMOS]
+    #subHeading(fill: colorRealsierung)[CMOS Verzögerung]
+
+    *Inverter*\
+    $t_("p"/"nLH") ~ (C_"L" t_"ox" L_"p/n")/(W_"p/n" mu_"p/n" epsilon(V_"DD" - abs(V_"Tpn"))) $
+
+    #grid(
+      columns: (1fr, 1fr),
+      [
+        *Steigend mit*
+        - Last $C_L$
+        - Oxyddicke $T_"ox"$
+        - Kandlalänge $L_"p/n"$
+        - Schwellspannung $V_"Tp/n"$ 
+      ],
+      [
+        *Sinkend mit*
+        - Kanalweite
+        - Landsträger Veweglichkeit $mu_"p/n"$
+      ],
+
+    )
+
+    $t_p ~ C_L/(beta(V_"DD" - abs(V_"T")))$
+
+    $t_p ~ C_L/(W(V_"DD" - abs(V_"T")))$
   ]
 
   #bgBlock(fill: colorState)[