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

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.

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

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

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

Consider the following statements in respect of the function f(x)=x+(1)/(x), 1. The local maximum value of f(x) is less than its local minimum value. 2. The local maximum value of f(x) occurs at x=1. Which of the above statements is /are correct?

Find the largest natural number a for which the maximum value of f(x)=a-1+2x-x^2 is smaller than the minimum value of g(x)=x^2-2a x+10-2adot

Find the largest natural number a for which the maximum value of f(x)=a-1+2x-x^2 is smaller than the minimum value of g(x)=x^2-2a x+10-2adot

Find the largest natural number a for which the maximum value of f(x)=a-1+2x-x^2 is smaller than the minimum value of g(x)=x^2-2a x+10-2adot