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Find the intervals in which function f(x...

Find the intervals in which function f(x) = `sin x-cos x, 0 lt x lt 2pi ` is (i) increasing, (ii) decreasing.

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The correct Answer is:
Increasing on
`(O, (3pi)/(4))U ((7pi)/(4),2pi)`
Decreasing on `[(3pi)/(4), (7pi)/(4)]`
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