Find maximum and minimum values of `(x^2-x+1)/(x^2+x+1)` using Calculus.

Find the maximum and minimum value of x+1/x

Find the maximum and minimum values of f(x)=(1-x)+|x|

IF x is real , find the maximum and minimum values of (x^2-x+1)/(x^2+x+1) also find the corresponding values of x.

Find the maximum and minimum of y=(x^(2)+1)/(x^(2)+x+1)

Find the maximum and minimum value of y=|2x+1|-|2x-2|

Find the maximum and minimum values of f(x)=-(x-1)^(2)+2 on R, if any,without using derivatives.

Find the maximum and minimum values of f(x)=-(x-1)^2+2 on R , if any, without using derivatives.

Find the maximum and minimum values of f(x)=2x^3-24 x+107 in the interval [1,\ 3] .