The function `f(x)=cos(pi/x),(x != 0)` is increasing in the interval

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

The function f(x) = x^(x) , x gt 0 , is increasing on the interval

The function f(x)=cos(pi/x) is monotonically increasing in the interval K is any positive integer is

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] .

The function f(x)=cos^(-1)x+x increases in the interval

If a function f(x) increases in the interval (a,b). then the function phi(x)=[f(x)]^(n) increases in the same interval and phi(x)!=f(x) if

Consider the following statements : 1. The function f(x)=sinx decreases on the interval (0,pi//2) . 2. The function f(x)=cosx increases on the interval (0,pi//2) . Which of the above statements is/are correct ?

Is the function f(x) = cos x strictly increasing in (0, pi) ?