From 514a50618d235e9b9d299a19d112a044193ff639 Mon Sep 17 00:00:00 2001 From: arc Date: Sun, 9 Mar 2025 20:20:41 -0600 Subject: [PATCH] vault backup: 2025-03-09 20:20:41 --- education/math/MATH1210 (calc 1)/Derivatives.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/education/math/MATH1210 (calc 1)/Derivatives.md b/education/math/MATH1210 (calc 1)/Derivatives.md index c453697..ac075e4 100644 --- a/education/math/MATH1210 (calc 1)/Derivatives.md +++ b/education/math/MATH1210 (calc 1)/Derivatives.md @@ -197,7 +197,8 @@ $$ \dfrac{d}{dx} \sec x = \sec x * \tan x $$ $$ \dfrac{d}{dx} \csc x = -\csc x \cot x $$ ## Cotangent $$ \dfrac{d}{dx} \cot x = -\csc^2 x $$ - +## Arcsin +$$ \dfrac{d}{dx}(\arcsin(x) = \dfrac{1}{\sqrt{1-x^2}}$$ # Implicit Differentiation - There's a reason differentials are written like a fraction - $\dfrac{d}{dx} x^2 = \dfrac{d(x^2)}{dx}$, or, "the derivative of $x^2$ with respect to $x$"