(iii)f(x)=x+sin x,x in[0,2 pi]

Maximum value of f(x)=x+sin2x,x in [0,2pi] is

Verify Rolle's theorem for the following functions f(x)=sin x+cos x+5,x in[0,2 pi]

Separate the intervals of monotonocity for the function f(x)=sin x+cos x,x in(0,2 pi)

Draw the graph and discuss the continuity of f(x)=[sin x+cos x],x in[0,2 pi), where [.] represents the greatest integer function.

Write the interval in which f(x)=sin x+cos x,x in[0,pi/2] is increasing.

Verify Rolle's theorem for each of the following functions on indicated intervals; f(x)=sin^(2)x on 0<=x<=pi f(x)=sin x+cos x-1 on [0,(pi)/(2)]f(x)=sin x-sin2x on [0,pi]

Verify Rolle's theorem for each of the following functions: (i) f(x) = sin 2x " in " [0, (pi)/(2)] (ii) f(x) = (sin x + cos x) " in " [0, (pi)/(2)] (iii) f(x) = cos 2 (x - (pi)/(4)) " in " [0, (pi)/(2)] (iv) f(x) = (sin x - sin 2x) " in " [0, pi]

The interval in which the function f(x)=sin x+cos x in x in[0,2 pi] is

Find the intervals in which the function f(x) = sin x +cos x,x in [0, 2pi] is (i) strictly increasing, (ii) strictly decreasing.

If f(x)=[sin x]+[cos x],x in[0,2 pi], where [.] denotes the greatest integer function.Then, the total number of points,where f(x) is non- differentiable,is (A)2(B)3(C)5(D)4