Questions in differentiation

Select	Question
	If $y = {t^{4/3}} - 3{t^{ - 2/3}}$, then $dy/dt$=
	If $y = {x^2}\log x + \frac{2}{{\sqrt x }},$ then $\frac{{dy}}{{dx}} = $
	$\frac{d}{{dx}}\left( {\frac{{{e^x}}}{{1 + {x^2}}}} \right) = $
	If $y = \frac{{\tan x + \cot x}}{{\tan x - \cot x}},$then $\frac{{dy}}{{dx}} = $
	If $A = \frac{{{2^x}\cot x}}{{\sqrt x }},$then $\frac{{dA}}{{dx}} = $
	$\frac{d}{{dx}}\left( {\frac{{\log x}}{{\sin x}}} \right) = $
	If $y = \frac{{\sqrt {{x^2} + 1} + \sqrt {{x^2} - 1} }}{{\sqrt {{x^2} + 1} - \sqrt {{x^2} - 1} }}$, then $\frac{{dy}}{{dx}} = $
	If $y = \frac{{\sqrt {a + x} - \sqrt {a - x} }}{{\sqrt {a + x} + \sqrt {a - x} }}$, then $\frac{{dy}}{{dx}} = $
	If $y = {(x{\cot ^3}x)^{3/2}},$then $dy/dx = $
	$\frac{d}{{dx}}\{ \cos (\sin {x^2})\} = $