For , evaluate…

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

Problem

For g(x)=x+1csc⁡xg(x)=\dfrac{x+1}{\csc x}, evaluate g′(x)g'(x). (a) sin⁡x[1−(x+1)cot⁡x]\sin x\left[1-(x+1)\cot x\right] (b) csc⁡x[1+(x+1)cot⁡x]\csc x\left[1+(x+1)\cot x\right] (c) sin⁡x[1+(x+1)cot⁡x]\sin x\left[1+(x+1)\cot x\right] (d) sin⁡x[(x+1)cot⁡x]\sin x\left[(x+1)\cot x\right]

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