Let `f(x) =sin^4x+cos^4x.` Then f is increasing function in the interval

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 decreasing function on the interval ((pi)/(4),(pi)/(2))

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

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

Show that the function f(x)=sin^(4) x+ cos^(4) x (i) is decreasing in the interval [0,pi/4] . (ii) is increasing in the interval [pi/4,pi/2] .

Show that the function f(x)=sin^(4) x+ cos^(4) x (i) is decreasing in the interval [0,pi/4] . (ii) is increasing in the interval [pi/4,pi/2] .

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

The function sin^(4)x+cos^(4)x is increasing in the interval

The function f(x)=sin^(4)x+cos^(4)x increasing if