If \[y={{\cot }^{-1}}{{(\cos 2x)}^{1/2}}\], then the value of \[\frac{dy}{dx}\]at \[x=\frac{\pi }{6}\]will be [IIT 1992]

\[{{\left( \frac{1}{3} \right)}^{1/2}}\]

\[{{\left( \frac{2}{3} \right)}^{1/2}}\]

If \[y={{\cot }^{-1}}{{(\cos 2x)}^{1/2}}\], then the value of \[\frac{

1.	If \[y={{\cot }^{-1}}{{(\cos 2x)}^{1/2}}\], then the value of \[\frac{dy}{dx}\]at \[x=\frac{\pi }{6}\]will be [IIT 1992]
A.	\[{{\left( \frac{2}{3} \right)}^{1/2}}\]
B.	\[{{\left( \frac{1}{3} \right)}^{1/2}}\]
C.	\[{{(3)}^{1/2}}\]
D.	\[{{(6)}^{1/2}}\]
Answer» B. \[{{\left( \frac{1}{3} \right)}^{1/2}}\]

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If \[y={{\cot }^{-1}}{{(\cos 2x)}^{1/2}}\], then the value of \[\frac{dy}{dx}\]at \[x=\frac{\pi }{6}\]will be [IIT 1992]

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