Questions in differentiation

Select	Question
	If $y = {e^{x + {e^{x + {e^{x + ....\infty }}}}}}$, then $\frac{{dy}}{{dx}} = $
	If ${x^y} = {e^{x - y}}$, then $\frac{{dy}}{{dx}} = $
	$(x - y){e^{x/(x - y)}} = k$ then
	If ${2^x} + {2^y} = {2^{x + y}}$, then $\frac{{dy}}{{dx}} = $
	If $y = \log {x^x},$then $\frac{{dy}}{{dx}} = $
	If ${y^x} + {x^y} = {a^b}$,then $\frac{{dy}}{{dx}} = $
	If $y = \sqrt {\frac{{(x - a)(x - b)}}{{(x - c)(x - d)}}} $, then $\frac{{dy}}{{dx}} = $
	If $y = {(1 + x)^x},$then $\frac{{dy}}{{dx}} = $
	If $y = \sqrt {\log x + \sqrt {\log x + \sqrt {\log x + .....\infty } } } $, then $\frac{{dy}}{{dx}} = $
	If $y = {x^{\sqrt x }},$then $\frac{{dy}}{{dx}}$=