diff --git a/education/math/MATH1210 (calc 1)/Derivatives.md b/education/math/MATH1210 (calc 1)/Derivatives.md index 2f9cc9a..6e1b006 100644 --- a/education/math/MATH1210 (calc 1)/Derivatives.md +++ b/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. \ No newline at end of file +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 +