differentiation

Question: If $A = \frac{{{2^x}\cot x}}{{\sqrt x }},$then $\frac{{dA}}{{dx}} = $



1) $\frac{{{2^{x - 1}}\left\{ { - 2x\,{\rm{cos}}{\rm{e}}{{\rm{c}}^2}x + \cot x.\log \left( {\frac{{{4^x}}}{e}} \right)} \right\}}}{{{x^{3/2}}}}$
2) $\frac{{{2^{x - 1}}\left\{ { - 2x\cos {\rm{e}}{{\rm{c}}^2}x + \cot x.\log \left( {\frac{{{4^x}}}{e}} \right)} \right\}}}{x}$
3) $\frac{{2x\left\{ { - 2x{\rm{cose}}{{\rm{c}}^2}x + \cot x.\log \left( {\frac{{{4^x}}}{e}} \right)} \right\}}}{{{x^{{\rm{3/2}}}}}}$
4) None of these
Solution: Explanation: Explanation
standard-differentiation

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