From cd2a396d3a02c0aa7bfa0f5a6dac2fca63802086 Mon Sep 17 00:00:00 2001 From: arc Date: Thu, 30 Jan 2025 09:38:44 -0700 Subject: [PATCH] vault backup: 2025-01-30 09:38:44 --- education/math/MATH1210 (calc 1)/Derivatives.md | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) diff --git a/education/math/MATH1210 (calc 1)/Derivatives.md b/education/math/MATH1210 (calc 1)/Derivatives.md index 3ac69bf..2036ffa 100644 --- a/education/math/MATH1210 (calc 1)/Derivatives.md +++ b/education/math/MATH1210 (calc 1)/Derivatives.md @@ -66,4 +66,9 @@ $$ \lim_{h \to 0} nx^{n-1} + P_{n3} x^{n-2}*0 \cdots v * 0 $$ The zeros leave us with: -$$ f(x) = n, \space $f'(x) = nx^{n-1} $$ +$$ f(x) = n, \space f'(x) = nx^{n-1} $$ +# Addition/Subtraction Derivative Rule +You can add and subtract derivatives to find what the derivative of the whole derivative would be. + +# Factor Derivative Rule +$$ \dfrac{d}{dx} (f(x) * g(x)) = \lim_{h \to 0} \dfrac{f(x +h) * g(x + h) - f(x)g(x)}{h} $$