For , which of the following expressions equals…

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

For f(x)=xsin⁡xf(x)=x\sin x, which of the following expressions equals f′(x)f'(x)? (a) xcos⁡xx\cos x (b) sin⁡x+xcos⁡x\sin x + x\cos x (c) sin⁡xcos⁡x\sin x\cos x (d) x (sin⁡x+cos⁡x)x\,(\sin x+\cos x)

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