Questions in differentiation

Select	Question
	The function ${{x}^{2}}\log x$ in the interval (1, e) has
	The minimum value of $\|x\|+\|x+\frac{1}{2}\|+\|x-3\|+\|x-\frac{5}{2}\|$ is
	Local maximum value of the function $\frac{\log x}{x}$ is
	If $x+y=16$ and ${{x}^{2}}+{{y}^{2}}$ is minimum, then the values of x and y are
	The function $x\sqrt{1-{{x}^{2}}},(x>0)$ has
	If two sides of a triangle be given, then the area of the triangle will be maximum if the angle between the given sides be
	The function ${{x}^{5}}-5{{x}^{4}}+5{{x}^{3}}-1$ is
	The adjacent sides of a rectangle with given perimeter as 100 cm and enclosing maximum area are
	The necessary condition to be maximum or minimum for the function is
	The area of a rectangle will be maximum for the given perimeter, when rectangle is a