vault backup: 2025-01-28 11:19:36

education/math/MATH1210 (calc 1)/Derivatives.md

@@ -18,4 +18,19 @@ The above formula can be used to find the *derivative*. This may also be referre
 ## Secant Line
 A **Secant Line** connects two points on a graph.
 
-A **Tangent Line** represents the rate of change or slope at a single point on the graph.
+A **Tangent Line** represents the rate of change or slope at a single point on the graph.
+
+# Notation
+Given the equation $y = f(x)$, the following are all notations used to represent the derivative of $f$ at $x$:
+- $f'(x)$
+- $\dfrac{d}{dx}f(x)$
+- $y'$
+- $\dfrac{dy}{dx}$
+- $\dfrac{df}{dx}$
+- "Derivative of $f$ with respect to $x$"
+
+# Functions that are not differentiable at a given point
+- Where a function is not defined
+- Where a sharp turn takes place
+- If the slope of the tangent line is vertical
+