Let `phi(x)=cos(cosx),` then check whether it is increasing or decreasing in `[0,pi//2].`

Let phi(x)=sin(cosx), then check whether it is increasing or decreasing in [0,pi//2].

Prove that the function given by f(x) = cos x is (c) neither increasing nor decreasing in (0 , 2pi) .

Show that the function given by f(x) = sin x is (c) neither increasing nor decreasing in (0 , pi) .

Which of the following function is decreasing on (0, pi/2)

The function which is neither decreasing nor increasing in (pi//2, 3pi//2) , is :

Show that the function given by f (x) = sin x is (a) increasing in (0,(pi)/(2)) (b) decreasing in ((pi)/(2) ,pi) (c) neither increasing nor decreasing in (0, pi )

Find the intervals in the function f is given by f(x) = sin x + cos x, 0 le x le 2pi is strictly increasing or strictly decreasing.

Find the intervals in which the function f given by f(x) =sin x +cos x , 0lt=x lt=2pi is increasing or decreasing.

Prove that the function f given by f(x) = log sin x is increasing on (0,(pi)/(2)) and decreasing on ((pi)/(2),pi) .