Which of the following is the derivative of for ?

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

Problem

Which of the following is the derivative of f(x)=sin⁡xxf(x)=\dfrac{\sin x}{x} for x≠0x\neq 0? (a) xcos⁡x+sin⁡xx2\dfrac{x\cos x+\sin x}{x^{2}} (b) xcos⁡x−sin⁡xx2\dfrac{x\cos x-\sin x}{x^{2}} (c) xcos⁡x−sin⁡xx\dfrac{x\cos x-\sin x}{x} (d) cos⁡xx\dfrac{\cos x}{x}

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