To find absolute greatest and least values of any function in any interval

Monotonocity(Greatest and least value OF function)

Find the greatest and the least values of the following functions in the given interval if they exist. y=5x^5-5x^4+5x^3+1\ \ " in \ "[-1,"\ "2]

Find the greatest and the least values of the following functions on the indicated intervals : f(x) = x-2lnx on [1,e]

Find the greatest and the least values of the following functions on the indicated intervals : f(x) = sqrt(4-x^(2)) " on " [-2,2]

Find the greatest and the least values of the following functions on the indicated intervals : f(x)=x^(3) " ln x on" [1,e]

Find the greatest and the least values of the following functions on the indicated intervals , y = x+ sqrt(x) " on " [0,4]

Find the greatest and the least values of the following functions on the indicated intervals : f(x) =2 " sin x + sin 2 x on" [ 0,3/2pi]

Find the greatest and the least values of the following functions on the indicated intervals : f(x) = sqrt((1-x)^(2)(1+2x^(2)))" on"[-1,1]

Find the greatest and the least values of the following functions on the indicated intervals : f(x) = 1/4 x^(4) -2/3 x^(3)-3/2 x^(2) +2 " on " [-2,4]