Find the local maximum and minimum values of the function g(x) = x + 2 sin x , 0 ` le x le 2 pi`

Find the maximum and minimum values of the function f(x) = x+sin2x on [0,2pi] .

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) .

Find the local maximum and local minimum values of the function f(x) = cos^4 x + sin^4 x, (0,pi/2)

Find the absolute maximum and minimum values of the function. f(x) = (x)/(x^2+1), - 3 le x le 3

Find the local maxima and local minima, of the function f(x) = sin x -cos x , 0 le x le 2pi . Also find the local maximum and local minimum values.