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Let f(x)=sinx-cosx be defined on [0,2pi]...

Let `f(x)=sinx-cosx` be defined on `[0,2pi]`. Determine the intervals in which f(x) is strictly decreasing and strictly increasing.

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The correct Answer is:
The function f(x) strictly increasing in `(0, (3pi)/(4))` and `((7pi)/(4), 2pi)` and it is strictly decreasing in `((3pi)/(4), (7pi)/(4))`.
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