Prove that the maximum value of `((2x-1)(x-8))/((x-1)(x-4))` is less then its minimum value.

If x+y=2 , that the maximum value of z=(4)/(x)+(36)/(y) is less than its minimum value .

Find the maximum value of x^((1)/(x)) .

Show that , the maximum value of the function x+(1)/(x) is less than its minimum value .

The maximum value of 4x-x^2-2 is-

Show that , the maximum value of 2x+(1)/(2x) is less than its minimum value.

Show that the maximum value of 2x + 1/(2x) is less than its minimum value.

Prove that , the minimum value of 9e^(x)+25e^(-x) is 30.

The minimum value of 9x^2-6x+1 is-

The maximum value of (1/x)^x, xgt0 is

Investigate for what values of x, the fuction (x-1)/(x^(2)+x-1) is a maximum or minimum .also show that the maximum value of the fuction is less than its minimum value