Questions in differentiation

Select	Question
	The number that exceeds its square by the greatest amount is
	If for a function $f(x),f'(a)=0,f''(a)=0$ , ${{f}''}'(a)>0$ , then at $x=a$ , $f(x)$ is
	The least value of the sum of any positive real number and its reciprocal is
	${{x}^{x}}$ has a stationary point at
	The value of a so that the sum of the squares of the roots of the equation ${{x}^{2}}-(a-2)x-a+1=0$ assume the least value, is
	The largest term in the sequence ${{a}_{n}}=\frac{{{n}^{2}}}{{{n}^{3}}+200}$ is given by
	The maximum value of xy subject to $x+y=8$ , is
	A minimum value of $\int_{0}^{x}{t{{e}^{-{{t}^{2}}}}}$ dt is
	If sum of two numbers is 3, then maximum value of the product of first and the square of second is
	The minimum value of the function $2\cos 2x-\cos 4x$ in $0\le x\le \pi $ is