Questions in differentiation

Select	Question
	${{n}^{th}}$derivative of ${{x}^{n+1}}$is
	If $y={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+.....+{{a}_{n}}{{x}^{n}},$then ${{y}_{n}}=$
	If $y=A\cos nx+B\sin nx,$ then $\frac{{{d}^{2}}y}{d{{x}^{2}}}=$
	$\frac{{{d}^{n}}}{d{{x}^{n}}}({{e}^{2x}}+{{e}^{-2x}})=$
	If $x=\log p$and $y=\frac{1}{p}$, then
	If $f(x)=a\sin (\log x)$, then ${{x}^{2}}f''(x)+xf'(x)=$
	If $y={{e}^{{{\tan }^{-1}}x}}$, then $(1+{{x}^{2}})\frac{{{d}^{2}}y}{d{{x}^{2}}}=$
	If $y={{x}^{2}}{{e}^{mx}}$, where m is a constant, then $\frac{{{d}^{3}}y}{d{{x}^{3}}}=$
	If $y=a{{e}^{mx}}+b{{e}^{-mx}}$, then $\frac{{{d}^{2}}y}{d{{x}^{2}}}-{{m}^{2}}y=$
	If $y={{({{x}^{2}}-1)}^{m}}$, then the ${{(2m)}^{th}}$differential coefficient of y is