diff --git a/education/math/MATH1210 (calc 1)/Derivatives.md b/education/math/MATH1210 (calc 1)/Derivatives.md index 8825a7f..7158737 100644 --- a/education/math/MATH1210 (calc 1)/Derivatives.md +++ b/education/math/MATH1210 (calc 1)/Derivatives.md @@ -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 \ No newline at end of file +- 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. + +$$ f'(x) = \lim_{h \to 0} \dfrac{(x + h)^n - x^n}{h} $$