" The increasing function in "(0,(pi)/(4))" .is "

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

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

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

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 given by f(x)=tan^(-1)(sinx+cosx), x" ">" "0 is always an strictly increasing function in (0,pi/4) .

Show that the function f given by f(x)=tan^(-1)(sinx+cosx), x" ">" "0 is always an strictly increasing function in (0,pi/4) .

Show that the function f given by f(x) = tan^-1(sinx+cosx), x>0 is always an increasing function in f, (0,pi/4)