Questions in differentiation

Select	Question
	One maximum point of ${{\sin }^{p}}x{{\cos }^{q}}x$ is
	20 is divided into two parts so that product of cube of one quantity and square of the other quantity is maximum. The parts are
	If $f(x)=\frac{{{x}^{2}}-1}{{{x}^{2}}+1}$ , for every real number x, then the minimum value of f
	The number of values of x where the function $f(x)=\cos x+\cos (\sqrt{2}x)$ attains its maximum is
	The minimum value of ${{e}^{(2{{x}^{2}}-2x+1){{\sin }^{2}}x}}$ is
	x and y be two variables such that $x>0$ and$xy=1$ . Then the minimum value of $x+y$ is
	What are the minimum and maximum values of the function ${{x}^{5}}-5{{x}^{4}}+5{{x}^{3}}-10$
	Divide 20 into two parts such that the product of one part and the cube of the other is maximum. The two parts are
	The maximum and minimum values of ${{x}^{3}}-18{{x}^{2}}+96x$ in interval (0, 9) are
	The maximum value of $\sin x\,\,(1+\cos x)$ will be at the