Find the value of x for which the function `f(x) = 1 + 2 sin x + 3 cos^2 x (0 <= x <= (2pi)/3)`) is maximum. Also find these values of the function.

Find the real values of x for which the function f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x) is defined

Find the real values of x for which the function f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x) is defined

Find the real values of x for which the function f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x) is defined

Find the real values of x for which the function f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x) is defined

Find the number of values of x for which the function f(x) = sin pix|(x-1)(x-2)(x-3)| is non -differentiable.

Find the maximum value of the function f(x) =sin x + cos x .

Find the maximum value of the function f(x) =sin x + cos x .

Find the value of 'a' for which the function f defined as f(x) = {(a sin""(pi)/(2)(x+1)",",x le 0),((tan x - sin x)/(x^(3))",", x gt 0):} is continuous at x = 0.

Find the value of a' for which the function f defined by f(x)={a(sin pi)/(2)(x+1),quad x 0 is continuous at x=0

Find the value of a for which the function f defined by f(x)={a(sin pi)/(2)(x+1),x 0 is continous at x=0