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Derivative of a Trigonometric Quotient

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If p(x)=tan⁡(x)+sec⁡(x)csc⁡(x)−cot⁡(x)p(x) = \frac{\tan(x) + \sec(x)}{\csc(x) - \cot(x)}, then p′(x)=p'(x) =

A

[sec⁡2(x)+sec⁡(x)tan⁡(x)](csc⁡(x)−cot⁡(x))−[tan⁡(x)+sec⁡(x)][−csc⁡(x)cot⁡(x)+csc⁡2(x)](csc⁡(x)−cot⁡(x))2\frac{[\sec^2(x) + \sec(x)\tan(x)](\csc(x) - \cot(x)) - [\tan(x) + \sec(x)][-\csc(x)\cot(x) + \csc^2(x)]}{(\csc(x) - \cot(x))^2}

B

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C

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D

sec(x)tan(x)

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