Show that function `f(x)=sin(2x+pi/4)` is decreasing on `((3pi)/8,(5pi)/8)dot`

Show that the function f(x)=sin(2x+pi/4) is decreasing on (3 pi/8,5 pi/8)

Show that function f(x)=sin(2x+(pi)/(4)) is decreasing on ((3 pi)/(8),(5 pi)/(8))

Show that the function f(x)=sin(2x+pi//4) is decreasing on (3pi//8,\ 5pi//8) .

Show that f(x)=cos(2x+pi/4) is an increasing function on (3pi//8,7pi//8)dot

Show that f(x)=cos(2x+pi/4) is an increasing function on (3 pi/8,7 pi/8)

Show that the function f(x) =sin^(4)x+cos^(4)x is increasing in (pi)/(4) lt x lt (3pi)/(8) .

Show that the function f(x)=cot^(-1)(sin x+cos x) is decreasing on (0,pi/4) and increasing on (pi/4,pi/2)

Show that f(x)=cos(2x+(pi)/(4)) is an increasing function on (3 pi/8,7 pi/8)

show that the function f(x)=sin x is strictly increasing in (0,(pi)/(2)) strictly decreasing in ((pi)/(2),pi)

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) .