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The function f(x) = x³ – 3x² + 12x – 18 is :
Find the intervals in which the function f(x) = log x/x is strictly increasing or strictly decreasing.
Find the absolute maximum and absolute minimum values of the function f given by f(x) = x/2 + 2/x, on the interval [1, 2].
Find the interval in which the function f(x) = x⁴ – 4x³ + 10 is strictly decreasing.
If f(x) = a(x − cos x) is strictly decreasing in ℝ, then 'a' belongs to :
Show that the function f(x) = (16 sin x)/(4 + cos x) − x, is strictly decreasing in (π/2, π).
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