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

Show that f(x)=sinx is an increasing function on (-pi//2,\ pi//2) .

Show that f(x)=tanx is an increasing function on (-pi//2,\ pi//2) .

Show that f(x)=sinx-cosx is an increasing function on (-pi//4,\ pi//4) .

Consider f(x)=sin3x,0<=x<=(pi)/(2), then (a) f(x) is increasing for x in(0,(pi)/(6)) and decreasing for x in((pi)/(6),(pi)/(2)) (b) f(x) is increasing forx in(0,(pi)/(4)) and decreasing for x in((pi)/(4),(pi)/(2)) (c) f(x)

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

Show that f(x)=cosx is a decreasing function on (0,\ pi) , increasing in (pi,\ 0) and neither increasing nor decreasing in (pi,\ pi) .

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

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

Show that f(x)=cosx is decreasing function on (0,pi), increasing in (-pi,0) and neither increasing nor decreasing in (-pi,pi)dot

which of the following statement is // are true ? (i) f(x) =sin x is increasing in interval [(-pi)/(2),(pi)/(2)] (ii) f(x) = sin x is increasing at all point of the interval [(-pi)/(2),(pi)/(2)] (3) f(x) = sin x is increasing in interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (4) f(x)=sin x is increasing at all point of the interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (5) f(x) = sin x is increasing in intervals [(-pi)/(2),(pi)/(2)]& [(3pi)/(2),(5pi)/(2)]