[" is decreasing on "(pi/4,5 pi/4)" ."],[" Find the interouls in which "f(x)=sin3x-cos3x,0

Separate the intervals [0, (pi)/(2)] into sub intervals in which f(x)= sin^(4)x + cos^(4)x is increasing or decreasing.

In the interval ((pi)/(4), (11 pi)/(12)) , then function f (x) = sin 3x - cos 3x, 0 lt x lt pi is:

Separate the interval [0,(pi)/(2)] into sub intervals in which function f(x)=sin^(4)(x)+cos^(4)(x) is strictly increasing or decreasing.

Sparate the interval [0, pi/2] into sub-intervals in which f(x)=sin^(4) x+cos^(4) x is decreasing

Separate the interval [0,\ pi//2] into sub-intervals in which f(x)=sin^4x+cos^4x is increasing or decreasing.

Separate the interval [0,pi/2] into sub intervals in which function f(x)=sin^4(x)+cos^4(x) is strictly increasing or decreasing.

Find the intervals in which f(x)=sin3x cos3x,0

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] .