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Find the derivative of the following function: $\operatorname{cosec} x \cot x$.

The derivative of $F[f\{ \phi (x)\} ]$ with respect to $x$ is:

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

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$\frac{d}{d x}\left[\left(\sqrt{x}+\frac{1}{\sqrt{x}}\right)^2\right]=$ . . . . . .

If $f(x) = \sin \left(\cosh \left(\frac{x^2+1}{x^2+2}\right)\right)$,then $f^{\prime}(1) = $

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