If `a, b gt 0` then the minimum value of `y=b^2/(a-x)+a^2/x, 0 lt x lt a` is

The maximum and minimum values of f(x)=secx+logcos^(2)x,0 lt x lt 2pi are respectively

Find the maximum and minimum values of f(x) = sec x + log cos^(2)x, 0 lt x lt 2pi .

Find the maximum and minimum values of the function f(x) = x+ sin 2x, (0 lt x lt pi) .

Find the maximum and minimum values of the function f(x) = x+ sin 2x, (0 lt x lt pi) .

Maximum and minimum value of f(x) = max (sin t), 0 lt t lt x le 0 x le 2pi are

Show that f(x) = ax^(2) + bx + c (a ne0) is maximum at x = -(b)/(2a) when a lt 0 and minimum at x = -(b)/(2a) when a gt 0 . Also find the maximum and minimum values of f(x).

If (x-a) (x-b) lt 0 , then x lt a, and x gt b .