" he maximum value of "((1)/(x))^(2x^(2))" is "

If f(x)=sqrt(4-x^(2))+sqrt(x^(2)-1), then the maximum value of (f(x))^(2) is

The maximum value of (1)/(4x^(2)+2x+1) is

If x_(1) and x_(2) are the roots of x^(2)+(sin theta-1)x-(1)/(2)cos^(2)theta=0 then maximum value of x_(1)^(2)+x_(2)^(2) is equal to

For all real values of x, the maximum value of (1-x+x^(2))/(1+x+x^(2)) is :

The maximum value of (x-1)(x-2) (x-3)is

The maximum value of x/(1+x^2) is