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Show function y =x -sin x is strict monotonic ?

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lixalixa | Honors

Posted June 9, 2013 at 4:00 PM via web

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Show function y =x -sin x is strict monotonic ?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 9, 2013 at 4:19 PM (Answer #1)

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The function y = x - sin x

y' = 1 - cos x

The value of cos x lies in [-1, 1]; the value of 1 - cos x is never negative. This is the case when a function is monotonically increasing.

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