" 13.Show that "f(x)=tan^(-1)(sin x+cos x)" is a strictly increasing function in the interval "(0,(pi)/(4))

Show that f(x)=tan^(-1)(cos x+sin x) is a stictly increasing function in the interval (0, pi/4) .

Show that f(x)=tan^(-1)(sin x+cos x) is an increasing function on the interval (0,pi/4)

Show that f(x)=tan^(-1)(sin x+cos x) is a decreasing function on the interval on (pi/4,pi/2).

Show that f(x)=tan^(-1)(sinx+cosx) is an increasing function on the interval (0,\ pi//4) .

Show that f(x)=tan^(-1)(sin x + cos x) is an increasing function in (0, (pi)/(4)) .

Show that f(x)=tan^(-1)(sin x+cos x) is decreasing function on the interval ((pi)/(4),(pi)/(2))

Show that the function fgivenbyf(x)=tan^(-1)(sin x+cos x)x>0 is always an strictly increasing function in (0,(pi)/(4))

Show that the function f given by f(x) = tan^(-1)(sin x + cos x), x gt 0 is always an strictly increasing functions in (0, (pi)/(4))

Show that the function f(x)= x^(2) is strictly increasing function in the interval ]0,infty[ .