" Determine whether "f(x)=-x/2+sin x" is increasing or decreasing on "(-pi/3,pi/3)

Determine whether f(x)=-x//2+sinx is increasing or decreasing on (-pi//3,\ pi//3) .

Determine whether f(x)=-x//2+sinx is increasing or decreasing on (-pi//3,\ pi//3) .

Show that f(x)=log sin x is increasing on (0,pi/2) and decreasing on (pi/2,pi).

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

f(x) = sin x is a strictly decreasing in (pi/2,pi)

Determine whether the following function is increasing or decreasing in the given interval : f(x) =cos (2x+(pi)/(4)), (3pi)/(8) le x le (5pi)/(8) .

Show that f(x)=sin x is increasing on (0,pi/2) and decreasing on (pi/2,pi) and neither increasing nor decreasing in (0,pi)

Determine whether the following function is increasing or decreasing in the given interval : f(X) = cos (2x + (pi)/(4)), (3pi)/(8)lexle(5pi)/(8) .

Separate [0,pi/2] into subintervals in which f(x)=sin3x is increasing or decreasing.