From 83569114c291168cb6abcdc4b069856a2275a9f3 Mon Sep 17 00:00:00 2001 From: arc Date: Sun, 16 Feb 2025 18:27:21 -0700 Subject: [PATCH] vault backup: 2025-02-16 18:27:21 --- education/math/MATH1210 (calc 1)/Derivatives.md | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/education/math/MATH1210 (calc 1)/Derivatives.md b/education/math/MATH1210 (calc 1)/Derivatives.md index 337ef48..8dfa3bb 100644 --- a/education/math/MATH1210 (calc 1)/Derivatives.md +++ b/education/math/MATH1210 (calc 1)/Derivatives.md @@ -133,7 +133,10 @@ $$ \dfrac{d}{dx} \csc x = -\csc x \cot x $$ ## Cotangent $$ \dfrac{d}{dx} \cot x = -\csc^2 x $$ - +# Implicit Differentiation\ +- $\dfrac{d}{dx} * x^2 = \dfrac{d(x^2)}{dx}$, or, the derivative of $x^2$ with respect to x +- $\dfrac{dx}{dx} = 1$ : The derivative of $x$ with respect to $x$ is one +- # Examples > Differentiate $f(x) = 4\sqrt[3]{x} - \dfrac{1}{x^6}$