americas1 americas1

24-09-2017
Mathematics

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Differentiate
y=(6x)/(1-cot(x))

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jdoe0001 jdoe0001

24-09-2017

[tex]\bf y=\cfrac{6x}{1-cot(x)}\implies \cfrac{dy}{dx}=\stackrel{quot ient~ru le}{\cfrac{6[1-cot(x)]~-~6x[-csc^2(x)]}{[1-cot(x)]^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{6-6cot(x)~+~6xcsc^2(x)}{[1-cot(x)]^2}[/tex]

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