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Find the intervals in the function f is ...

Find the intervals in the function f is given by `f(x) = sin x + cos x, 0 le x le 2pi` is strictly increasing or strictly decreasing.

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The correct Answer is:
f is strictly increasing in the intervals `[0, (pi)/(4) and (5pi)/(4), 2pi]`
f is strictly decreasing in `((pi)/(4), (5pi)/(4))`
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