For in the domain of the functions

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For xx in the domain of the functions, let h(x)=tan⁡(3x)cot⁡(2x)h(x)=\dfrac{\tan(3x)}{\cot(2x)}. Which of the following is h′(x)h'(x)? (a) 3tan⁡(2x)sec⁡2(3x)−2tan⁡(3x)sec⁡2(2x)3\tan(2x)\sec^{2}(3x)-2\tan(3x)\sec^{2}(2x) (b) 3sec⁡2(3x)+2sec⁡2(2x)3\sec^{2}(3x)+2\sec^{2}(2x) (c) 3tan⁡(2x)sec⁡2(3x)+2tan⁡(3x)sec⁡2(2x)3\tan(2x)\sec^{2}(3x)+2\tan(3x)\sec^{2}(2x) (d) 3tan⁡(2x)sec⁡2(3x)+tan⁡(3x)sec⁡2(2x)3\tan(2x)\sec^{2}(3x)+\tan(3x)\sec^{2}(2x)

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