Consider on the interval

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Consider g(x)=sin⁡x−x2g(x)=\sin x-\dfrac{x}{2} on the interval [0,2π][0,2\pi]. List all xx-values in [0,2π][0,2\pi] at which gg has a local extremum, and indicate which of those correspond to the absolute maximum and absolute minimum of gg on the interval.

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