From f441527eb28a2af16637243660e91642242dadb0 Mon Sep 17 00:00:00 2001
From: arc <zleyyij@users.noreply.github.com>
Date: Thu, 30 Jan 2025 09:08:43 -0700
Subject: [PATCH] vault backup: 2025-01-30 09:08:43

---
 education/math/MATH1210 (calc 1)/Derivatives.md | 12 ++++++++++++
 1 file changed, 12 insertions(+)

diff --git a/education/math/MATH1210 (calc 1)/Derivatives.md b/education/math/MATH1210 (calc 1)/Derivatives.md
index cf66ba1..c15278c 100644
--- a/education/math/MATH1210 (calc 1)/Derivatives.md	
+++ b/education/math/MATH1210 (calc 1)/Derivatives.md	
@@ -41,3 +41,15 @@ Using the definition of a derivative to determine the derivative of $f(x) = x^n$
 
 $$ f'(x) = \lim_{h \to 0} \dfrac{(x + h)^n - x^n}{h} $$
 - Using pascal's triangle, we can approximate $(x + h)^n$
+```
+    1
+   1 1
+  1 2 1
+ 1 3 3 1
+1 4 6 4 1 
+```
+
+- Where $n = 0$: $(x + h)^0  = 1$
+- Where $n = 1$: $(x +h)^1 = 1x + 1h$
+- Where $n = 2$: $(x +h)^2 = x^2 + 2xh + h^2$
+- Where $n = 3$: $(x + h)^3 = 1