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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