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Find the points of localmaximaor minima for f(x) =" sin "2x -x, x in (0,pi) |
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Answer» Solution :`f(X) =" sin "2x -x` `f'(x) =2 COS 2x -1` `f'(x) =0 ""rArr ""cos 2x=(1)/(2) ""rArr ""x=(pi)/(6),(5pi)/(6)` `f''(x) =-4 sin 2x` `f''((pi)/6) LT0 ""rArr "" "Maxima at " x=(pi)/(6)` `f''((5pi)/(6)) gt 0 ""rArr """MINIMA at " x=((5pi)/(6))` |
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