The function `x^4-4x` is decreasing in the interval

The function f(x) = x^x decrease on the interval

The function f(x)=(sinx)/(x) is decreasing in the interval

The function f(x)=x^x decrease on the interval

The function f(x) is a decreasing funciton in the interval

The function f(x)=tan^(-1)x-x decreases in the interval.

The function f(x)=tan^(-1)x-x decreases in the interval

The function f(x)=tan^(-1)x-x decreases in 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] .