Questions in differentiation

Select	Question
	For the curve $\sqrt x + \sqrt y = 1,\frac{{dy}}{{dx}}$at $\left( {\frac{1}{4},\frac{1}{4}} \right)$ is
	Differential coefficient of $\sqrt {\sec \sqrt x } $ is
	If $y = {e^{(1 + {{\log }_e}x)}}$, then the value of $\frac{{dy}}{{dx}} = $
	For the function $f(x) = {x^2} - 6x + 8,2 \le x \le 4$, the value of x for which $f'(x)$ vanishes, is
	If $f(x) = {e^x}g(x),g(0) = 2,g'(0) = 1$, then $f'(0)$ is
	If $y = {e^x}\log x$, then $\frac{{dy}}{{dx}}$is
	If $y = {\cot ^{ - 1}}\left[ {\frac{{\sqrt {1 + \sin x} + \sqrt {1 - \sin x} }}{{\sqrt {1 + \sin x} - \sqrt {1 - \sin x} }}} \right]$, then $\frac{{dy}}{{dx}} = $
	If $y = \sec {x^0}$, then $\frac{{dy}}{{dx}} = $
	If $y = \sqrt {\sin \sqrt x } $, then $\frac{{dy}}{{dx}} = $
	If$y = {\log _{10}}{x^2}$, then $\frac{{dy}}{{dx}}$ is equal to