CBSE

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

Problem

If A=2xcot⁡xxA = \frac{2^x \cot x}{\sqrt{x}} , then dAdx=\frac{dA}{dx} = (a) 2x−1{−2xcosec⁡2x+cot⁡x⋅log⁡(4xe)}x3/2\frac{2^{x-1} \left\{ -2x \operatorname{cosec}^2 x + \cot x \cdot \log \left( \frac{4^x}{e} \right) \right\}}{x^{3/2}} (b) 2x−1{−2xcosec⁡2x+cot⁡x⋅log⁡(4xe)}x\frac{2^{x-1} \left\{ -2x \operatorname{cosec}^2 x + \cot x \cdot \log \left( \frac{4^x}{e} \right) \right\}}{x} (c) 2x{−2xcosec⁡2x+cot⁡x⋅log⁡(4xe)}x3/2\frac{2x \left\{ -2x \operatorname{cosec}^2 x + \cot x \cdot \log \left( \frac{4^x}{e} \right) \right\}}{x^{3/2}} (d) None of these

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