Find the absolute extrema of the following functions on the given closed interval.
`f(x)=2cosx+sin2x,[0,pi/2]`

Find the absolute extrema of the following functions on the given closed interval. f(x)=x^(3)-12x+10,[1,2]

Find the absolute extrema of the following functions on the given closed interval. f(x)=3x^(4)-4x^(3),[-1,2]

Find the absolute extrema of the following functions on the given closed interval. f(x)=6x^(4/3)-3x^(1/3),[-1,1]

Find the absolute extrema of the function f(x)=3 cos x on the closed interval [0,2pi] .

Find the absolute extreme of the function f(x) = 2 cos x in [0, 2pi]

Find the absolute maximum value and the absolute minimum value of the functions in the given intervals: f (x) = sin x + cos x , x in [0,pi]

Find the local extrema for the following functions using second derivative test : f(x)=x^(2)e^(-2x)

Find the absolute maximum and absolute minimum values of f on the given interval. f(x)=sin x+ cos x, [0, pi//3]

Find the domain of the following functions f(x)=sin^(-1)x+cosx