Questions in differentiation

Select	Question
	$\frac{d}{{dx}}\{ {e^{ - a{x^2}}}\log (\sin x)\} = $
	If $y = \log x.{e^{(\tan x + {x^2})}},$then $\frac{{dy}}{{dx}} = $
	If $y = \sqrt {\frac{{1 + {e^x}}}{{1 - {e^x}}}} $, then $\frac{{dy}}{{dx}} = $
	$\frac{d}{{dx}}\left\{ {{e^x}\log (1 + {x^2})} \right\} = $
	If $y = \frac{{{e^{2x}} + {e^{ - 2x}}}}{{{e^{2x}} - {e^{ - 2x}}}}$, then $\frac{{dy}}{{dx}} = $
	If $y = \frac{{2{{(x - \sin x)}^{3/2}}}}{{\sqrt x }}$, then $\frac{{dy}}{{dx}} = $
	$\frac{d}{{dx}}\left( {{{\cos }^{ - 1}}\sqrt {\frac{{1 + \cos x}}{2}} } \right) = $
	If $y = {\tan ^{ - 1}}\left( {\frac{{\sqrt a - \sqrt x }}{{1 + \sqrt {ax} }}} \right)$, then $\frac{{dy}}{{dx}} = $
	If $y = {\sec ^{ - 1}}\left( {\frac{{x + 1}}{{x - 1}}} \right) + {\sin ^{ - 1}}\left( {\frac{{x - 1}}{{x + 1}}} \right)$, then $\frac{{dy}}{{dx}} = $
	$\frac{d}{{dx}}({\log _e}x)({\log _a}x)] = $