Quotient rule for derivatives

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Find the derivative $\;\;\;\frac{d}{dx}\left(\frac{x+2}{3x-2}\right)$

**Answer**

$\;\;\;\frac{d}{dx}\left(\frac{x+2}{3x-2}\right)$

$=\frac{(1)(3x-2)-(x+2)(3)}{(3x-2)^2}$

$=\frac{(3x-2)-(3x+6)}{(3x-2)^2}$

$=\frac{-8}{(3x-2)^2}$