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Show that the function f(x) = sin x + cos x is strictly decreasing in the interval (π/4,5π/4).
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Prove that the function f(x) = tan x - 4x is strictly decreasing on (-π/3, π/3).
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Find the intervals in which 𝑓(𝑥)=𝑠𝑖𝑛𝑥−𝑐𝑜𝑠𝑥, 0≤ 𝑥≤2𝜋 is strictly increasing or decreasing.
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