Questions in differentiation

Select	Question
	If $y=a{{x}^{n+1}}+b{{x}^{-n}}$, then ${{x}^{2}}\frac{{{d}^{2}}y}{d{{x}^{2}}}=$
	If $y=a+b{{x}^{2}};a,b$ arbitrary constants, then
	$\frac{{{d}^{20}}y}{d{{x}^{20}}}(2\cos x\cos 3x)$=
	If $y={{\sin }^{2}}\alpha +{{\cos }^{2}}(\alpha +\beta )+2\sin \alpha \sin \beta \cos (\alpha +\beta )$, then $\frac{{{d}^{3}}y}{d{{\alpha }^{3}}}$ is, (keeping $\beta $as constant)
	If $y=x\log \left( \frac{x}{a+bx} \right)$, then ${{x}^{3}}\frac{{{d}^{2}}y}{d{{x}^{2}}}=$
	If ${{e}^{y}}+xy=e$, then the value of $\frac{{{d}^{2}}y}{d{{x}^{2}}}$for $x=0$, is
	If f be a polynomial, then the second derivative of $f({{e}^{x}})$ is
	If $y=\sin x+{{e}^{x}},$then $\frac{{{d}^{2}}x}{d{{y}^{2}}}=$
	If $y={{x}^{3}}\log {{\log }_{e}}(1+x)$, then ${y}''\,(0)$ equals
	$\frac{{{d}^{2}}x}{d{{y}^{2}}}$ is equal to