differentiation

Question: If $y = {(x{\cot ^3}x)^{3/2}},$then $dy/dx = $



1) $\frac{3}{2}{(x{\cot ^3}x)^{1/2}}[{\cot ^3}x - 3x{\cot ^2}x\cos {\rm{e}}{{\rm{c}}^2}x]$
2) $\frac{3}{2}{(x{\cot ^3}x)^{1/2}}[{\cot ^2}x - 3x{\cot ^2}x\,{\rm{cose}}{{\rm{c}}^2}x]$
3) $\frac{3}{2}{(x{\cot ^3}x)^{1/3}}[{\cot ^3}x - 3x\,{\rm{cos}}{\rm{e}}{{\rm{c}}^2}x]$
4) $\frac{3}{2}{(x{\cot ^3}x)^{3/2}}[{\cot ^3}x - 3x\,{\rm{cos}}{\rm{e}}{{\rm{c}}^2}x]$
Solution: Explanation: Explanation
standard-differentiation

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