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

Explanation

To find the intervals in which the function \( f(x) = \sin x - \cos x \) is increasing or decreasing on the interval \( 0 < x < 2\pi \), we will follow these steps:

### Step 1: Find the first derivative of the function
The first step is to differentiate the function \( f(x) \).

\[ f'(x) = \frac{d}{dx}(\sin x - \cos x) = \cos x + \sin x \]
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