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Where sin^4 x + cos^4 x is increasing

The same question, asked 3 times: 12 May 2024 S1, 22 Apr 2025 S2, 17 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    12 May 2024 S1

    123
    The function f(x)=sin⁡4x+cos⁡4xf(x)=\sin^{4}x+\cos^{4}x is increasing in

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  2. Question 2

    22 Apr 2025 S2

    112
    The function f(x)=sin⁡4x+cos⁡4xf(x) =\sin^{4}x +\cos^{4}x increases if

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  3. Question 3

    17 Apr 2026 S1

    74
    The derivative of the function f(x)=cos⁡4x+sin⁡4x, 0≤x≤2πf(x) = \cos^4 x + \sin^4 x,\ 0 \le x \le 2\pi is positive for

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