Answer
$-3csc^{2}(x)+2sin(x)$
Work Step by Step
$\frac{d}{dx}(3cot(x)-2cos(x))=\frac{d}{dx}(3cot(x))-\frac{d}{dx}(2cos(x))=3\frac{d}{dx}(cot(x))-2\frac{d}{dx}(cos(x))=-3csc^{2}(x)+2sin(x)$
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