The Quotient Rule

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Jason
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\(\dfrac{d}{dx}[\dfrac{a}{b}] = \dfrac{b\dfrac{da}{dx} - a\dfrac{db}{dx}}{b^{2}}\)


\(ex. a\)


\(\dfrac{d}{dx}[\dfrac{6x}{x + 3}] =\)

\(\dfrac{(x + 3)(6) - (6x)(1)}{(x + 3)^{2}}\)

\(\dfrac{6x + 18 - 6x}{(x + 3)(x + 3)}\)

\(\dfrac{18}{x^{2} + 6x + 9}\)
 

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