How do use the first derivative test to determine the local extrema $y = x + sin x$ $y = x + sinx$ ?

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Answer 1 · 2015-11-08T01:53:47

Find values of x where $f'(x)=0$

$y'=1+cos(x)=0$

$cos(x)=-1$ where $x=pi+-2pi$

See graphic below: slope is zero at $pi+-2pi$

enter image source here

hope that helped

How do use the first derivative test to determine the local extrema y = x + sinxy=x+sinxy = x + sinx?