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education/math/MATH1210 (calc 1)/Derivatives.md
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@ -197,7 +197,8 @@ $$ \dfrac{d}{dx} \sec x = \sec x * \tan x $$
$$ \dfrac{d}{dx} \csc x = -\csc x \cot x $$ $$ \dfrac{d}{dx} \csc x = -\csc x \cot x $$
## Cotangent ## Cotangent
$$ \dfrac{d}{dx} \cot x = -\csc^2 x $$ $$ \dfrac{d}{dx} \cot x = -\csc^2 x $$
## Arcsin
$$ \dfrac{d}{dx}(\arcsin(x) = \dfrac{1}{\sqrt{1-x^2}}$$
# Implicit Differentiation # Implicit Differentiation
- There's a reason differentials are written like a fraction - 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 $x$" - $\dfrac{d}{dx} x^2 = \dfrac{d(x^2)}{dx}$, or, "the derivative of $x^2$ with respect to $x$"