Questions in differentiation

Select	Question
	$\frac{d}{{dx}}[{\sin ^n}x\cos \,nx] = $
	If $f(x) = {\log _x}(\log x),$then $f'(x)$at $x = e$is
	If $y = \log {\left( {\frac{{1 + x}}{{1 - x}}} \right)^{1/4}} - \frac{1}{2}{\tan ^{ - 1}}x,$then $\frac{{dy}}{{dx}} = $
	If $y = {\tan ^{ - 1}}\frac{{4x}}{{1 + 5{x^2}}} + {\tan ^{ - 1}}\frac{{2 + 3x}}{{3 - 2x}}$, then $\frac{{dy}}{{dx}} = $
	$\frac{d}{{dx}}{\log _7}({\log _7}x)$=
	If $f(x) = \sqrt {1 + {{\cos }^2}({x^2})} $, then $f'\left( {\frac{{\sqrt \pi }}{2}} \right)$ is
	If ${x^{2/3}} + {y^{2/3}} = {a^{2/3}}$, then $\frac{{dy}}{{dx}} = $
	$\frac{d}{{dx}}[(1 + {x^2}){\tan ^{ - 1}}x] = $
	If $y = \log \frac{{1 + \sqrt x }}{{1 - \sqrt x }},$then $\frac{{dy}}{{dx}} = $
	$\frac{d}{{dx}}{e^{x + 3\log x}} = $