Questions in differentiation

Select	Question
	Of the given perimeter, the triangle having maximum area is
	The sufficient conditions for the function $f:R\to R$ is to be maximum at $x=a$ , will be
	36 factorize into two factors in such a way that sum of factors is minimum, then the factors are
	If $f(x)=2{{x}^{3}}-3{{x}^{2}}-12x+5$ and $x\in [-2,\,4]$ , then the maximum value of function is at the following value of x
	The point for the curve $y=x{{e}^{x}}$
	The function $\sin x(1+\cos x)$ at $x=\frac{\pi }{3}$ , is
	Maximum value of ${{\left( \frac{1}{x} \right)}^{x}}$ is
	If $x+y=10$ , then the maximum value of $xy$ is
	The sum of two numbers is fixed. Then its multiplication is maximum, when
	The two parts of 100 for which the sum of double of first and square of second part is minimum, are