vault backup: 2025-03-09 20:20:41

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arc 2025-03-09 20:20:41 -06:00
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@ -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 $x$"