vault backup: 2025-03-09 20:20:41
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@ -197,7 +197,8 @@ $$ \dfrac{d}{dx} \sec x = \sec x * \tan x $$
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$$ \dfrac{d}{dx} \csc x = -\csc x \cot x $$
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## Cotangent
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$$ \dfrac{d}{dx} \cot x = -\csc^2 x $$
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## Arcsin
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$$ \dfrac{d}{dx}(\arcsin(x) = \dfrac{1}{\sqrt{1-x^2}}$$
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# Implicit Differentiation
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- There's a reason differentials are written like a fraction
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- $\dfrac{d}{dx} x^2 = \dfrac{d(x^2)}{dx}$, or, "the derivative of $x^2$ with respect to $x$"
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