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Separate the interval [0,pi/2] into sub ...

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.

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`f(x)=sin^4(x)+cos^4(x)`
`f^'(x)=4sin^3xcosx-4cos^3xsinx`
`f^'(x)=-4sinxcosx[-sin^2x+cos^2x]`
`f^'(x)=-2sin2xcos2x`
`f^'(x)=-sin4x`
Thus,
when `f^'(x)=0` ,
...
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