Question

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.

Answer 1

Correct Answer - `x+2^(2//3)y=2+2^(2//3)`
Or, Strictly decreasing in `[0,(pi)/(4)],` strictly increasing in `[(pi)/(4),(pi)/(2)]`