Find maximum and minimum values of `f(x)=sinx+1/2cos2x` , where `0

Find the maximum and minimum values of f(x)=sinx+1/2cos2x in [0,\ pi/2] .

Find the points of local maxima and local minima, if any, and local maximum and local minimum values of f(x)=sinx-cosx ,where 0ltxlt2pi

Find the maximum and minimum value of f(x)=sinx+1/2cos2xin[0,pi/2]dot

Find the points of local maxima or local minima, if any, and local maximum or local minimum values of f(x)=sinx+cosx , where 0

Find the points of local maxima and local minima, if any, and local maximum and local minimum values of f(x)=sin2x , where 0ltxltpi

Find the points of local maxima and local minima, if any, and local maximum and local minimum values of f(x)=sin2x-x , where -pi/2

Find the maximum and minimum values of f(x)=x+sin2x in the interval [0,\ 2pi]

(i) Find the maximum and minimum values of sin^(4)x + cos^(2)x and hence or otherwise find the maximum value of sin^(1000)x + cos^(2008)x . (ii) Find the maximum value of cos (cos x).

Find the absolute maximum and minimum values of f(x) = 2cos 2x - cos 4x, "x"in[0, pi].

Find the maximum and the minimum values of f(x)=sin(sinx) for all x in R , if any.