On the interval

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

On the interval (0,2π)(0,2\pi), the function p(x)=2sin⁡x−sin⁡2xp(x)=2\sin x-\sin 2x is defined for all xx. Identify every xx–value in (0,2π)(0,2\pi) where pp has a relative extremum, indicating for each whether it is a maximum or a minimum.

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