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Let f'(sin x) lt 0 and f''(sin x) gt 0 ...

Let `f'(sin x) lt 0` and `f''(sin x) gt 0 AA x in (0, pi/2)` and` g (x) = f (sin x) + f (cos x)`, then

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increasing when ` x in ((pi)/(4),(pi)/(2))` decreasing when `x in (0,(pi)/(4))`
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