diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 0f59ad9..97347b4 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -21,6 +21,20 @@
               "title": "Gräsvärde (1)"
             }
           },
+          {
+            "id": "ad6eb280b4b8718c",
+            "type": "leaf",
+            "state": {
+              "type": "markdown",
+              "state": {
+                "file": "Derivata.md",
+                "mode": "source",
+                "source": false
+              },
+              "icon": "lucide-file",
+              "title": "Derivata"
+            }
+          },
           {
             "id": "66704e0159322e3f",
             "type": "leaf",
@@ -91,7 +105,8 @@
               "title": "Funktioner Forts"
             }
           }
-        ]
+        ],
+        "currentTab": 1
       }
     ],
     "direction": "vertical"
@@ -252,12 +267,16 @@
       "obsidian-git:Open Git source control": false
     }
   },
-  "active": "5d5c0fef64eecc2b",
+  "active": "e616c86f78b96cf1",
   "lastOpenFiles": [
+    "Pasted image 20251119134315.png",
+    "d_ex_1.png",
+    "d1.png",
+    "Gräsvärde (1).md",
+    "Derivata.md",
     "Funktioner.md",
     "Funktioner Forts.md",
     "Komplexa tal.md",
-    "Gräsvärde (1).md",
     "Trigonometri.md",
     "Grafer.md",
     "conflict-files-obsidian-git.md",
diff --git a/Derivata.md b/Derivata.md
new file mode 100644
index 0000000..23e8c4a
--- /dev/null
+++ b/Derivata.md
@@ -0,0 +1,29 @@
+- Derivata
+	- **Def**: *$f$ är deriverbar i punkten $a$ om $$\lim_{x\to a}\frac{f(x)-f(a)}{x-a}$$existerar.$$f'(x)=\frac{df}{dx}(a)=Df(a)=\lim_{x\to a}\frac{f(x)-f(a)}{x-a}=\lim_{h\to0}\frac{f(a+h)-f(a)}{h}$$är derivatan av $f$ i punkten $x=a$. Funktionen $f'$ är derivatan av $f$ och deinieras som $x\longmapsto f'(x)$ där det är definiead.* 
+	- **Defs**:
+		- $Df$: *Oendlig liten ändrig i $f$*
+		- $Dx$: *Oendlig liten ändrig i $x$*
+	- $f[\bullet]=f'$
+	- 
+![[d1.png]]
+- Egenskaper och regler
+	- $f$ deriverbar $\Rightarrow$ $f$ kontinuerlig. **Obs!** Inte alla kontinuerliga funktioner är deriverbara
+	- Derivering är linjär avbildning: $\left(\alpha f+\beta g\right)'=\alpha f'+\beta g'$
+	- **Produkt regel** (*Leibniz*): $\left(f\left(x\right)g\left(x\right)\right)'=f'\left(x\right)g\left(x\right)+f\left(x\right)g'\left(x\right)$
+	- **Sammansatt funktion**: $\left(f\circ g\right)'\left(x\right)=f'\circ g\left(x\right)g'\left(x\right)$
+	- **Division**: $\left(\frac{f\left(x\right)}{g\left(x\right)}\right)'=\frac{f'\left(x\right)g\left(x\right)-f\left(x\right)g'\left(x\right)}{g\left(x\right)^2}$
+	- **Ex**: ![[d_ex_1.png]]$$\begin{align}f(x)=\mid x\mid\\f\text{ är kontinuerlig på }\mathbb{R}.\\f\text{ är inte deriverbar i }0.\\\lim_{x\to0+}\frac{f\left(x\right)-f\left(0\right)}{x-0}=\lim_{x\to0+}\frac{\mid x\mid-0}x=\lim_{x\to0+}\frac xx=1\\\lim_{x\to0-}\frac{f\left(x\right)-f\left(0\right)}{x-0}=\lim_{x\to0-}\frac{\mid x\mid-0}x=\lim_{x\to0-}\frac{-x}x=-1\\\lim_{x\to0}\frac{f\left(x\right)-f\left(0\right)}{x-0}=f'(0)\text{ existerar inte-}\end{align}$$
+	- **Ex**: $$\begin{align}\text{Leibniz regel}\\\left(f\left(x\right)g\left(x\right)\right)'=\lim_{h\to0}\frac{f\left(x+h\right)-f\left(x\right)g\left(x\right)}h\\=\lim_{h\to0}\frac{f(x+h)g(x+h)-f(x)g(x+h)+f(x)g(x+h)-f(x)g(x)}{h}\\=\lim_{h\to0}\left(g(x+h)\frac{f(x+h)-f(x)}{h}+f(x)\frac{g(x+h)-g(x)}{h}\right)\\=g(x)f'(x)+f(x)g'(x)\end{align}$$
+	- **Ex**: $$\begin{align}h(x)=\frac1x\\h'(x)=-\frac1{x^2}\\h\circ g(x)=h(g(x))=\frac1{g(x)}\\(g\circ g)'(x)=\left(\frac1{g(x)}\right)^2\\=h'\circ g(x)g'(x)=h'(g(x))g'(x)\frac{-1}{(g(x))^2}g'(x)\end{align}$$
+- Standerd derivarives
+	1. $f(x)=c\;\;\Rightarrow\;\;f'(x)=0$
+	2. $f(x)=n^n\;\;\Rightarrow\;\;f'(x)=nx^{n-1},\;n\in\mathbb{Z}$
+	3. $f(x)=x^\alpha\;\;\Rightarrow\;\;f'(x)=\alpha x^{\alpha-1},\;\alpha\in\mathbb{R},\;x>0$
+	4. $f(x)=e^x\;\;\Rightarrow\;\;f'(x)=e^x$
+	5. $f(x)=\ln\mid x\mid\;\;\Rightarrow\;\;f'(x)=x^{-1},\;x\neq0$
+	6. $f(x)=\sin x\;\;\Rightarrow\;\;f'(x)=\cos x$
+	7. $f(x)=\cos x\;\;\Rightarrow\;\;f'(x)=-\sin x$
+	8. $f(x)=\tan x\;\;\Rightarrow\;\;f'(x)=\sec^2x=1+\tan^2x$
+	9. $f(x)=a^x\;\;\Rightarrow\;\;f'(x)=a^x\ln a,\;a>0$
+	10. $f(x)=\log_a\mid x\mid\;\;\Rightarrow\;\;f'(x)=(x\ln a)^-1,\;a>0,\;x\neq0$
+	11. 
\ No newline at end of file
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