Which of the following expressions equals for all where the derivative is defined?

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Which of the following expressions equals ddx(cos⁡xsin⁡x)\dfrac{d}{dx}\left(\dfrac{\cos x}{\sin x}\right) for all xx where the derivative is defined? (a) −tan⁡x-\tan x (b) csc⁡2x\csc^2 x (c) −csc⁡2x-\csc^2 x (d) −sec⁡2x-\sec^2 x

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