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)(sin x + cos x), x gt 0 is always an strictly increasing functions 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 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 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(sinx+cosx), x>0 is always an increasing function in f, (0,pi/4)

f(x)=tan^(-1)(sinx+cosx), x gt0 is always and increasing function on the interval

The function f(x)= tan^(-1) (sin x + cos x ), x gt 0 is always an increasing function on the interval-

The function f(x) = tan^(-1) (sin x + cos x), x gt 0 is always an increasing function on the interval

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