vault backup: 2025-01-30 08:58:43

2025-01-30 08:58:43 -07:00 · 2025-01-30 08:58:43 -07:00 · 7d7efe3d55
commit 7d7efe3d55
parent 5898de24cb
1 changed files with 5 additions and 1 deletions
--- a/education/math/MATH1210
+++ b/education/math/MATH1210
@ -35,4 +35,8 @@ Given the equation $y = f(x)$, the following are all notations used to represent
 - If the slope of the tangent line is vertical

 # Higher Order Differentials
- Take the differential of a differential
+- Take the differential of a differential
+
+Using the definition of a derivative to determine the derivative of $f(x) = x^n$, where $n$ is any natural number.
+
+$$ f'(x) = \lim_{h \to 0} \dfrac{(x + h)^n - x^n}{h} $$