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Find the intervals in which the function...

Find the intervals in which the function `f(x) = sin^(4) x + cos^(4) x AA x in [0, pi//2]` is increasing and decreasing.

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The correct Answer is:
`xepsilon((pi)/(4), (pi)/(2))`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-APPLICATION OF DERIVATIVES-Exercise-10(g)
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  12. Show that f(x) = cos^(2) x is strictly decreasing on (0, pi//2).

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