设函数f(x)=sin(2x+π/6)+m (1)写出函数f(x)的最小正周期及单调区间
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设函数f(x)=sin(2x+π/6)+m(1)写出函数f(x)的最小正周期及单调区间设函数f(x)=sin(2x+π/6)+m(1)写出函数f(x)的最小正周期及单调区间设函数f(x)=sin(2x
设函数f(x)=sin(2x+π/6)+m (1)写出函数f(x)的最小正周期及单调区间
设函数f(x)=sin(2x+π/6)+m (1)写出函数f(x)的最小正周期及单调区间
设函数f(x)=sin(2x+π/6)+m (1)写出函数f(x)的最小正周期及单调区间
T=2π/2=π
sinx的增区间是(2kπ-π/2,2kπ+π/2)
减区间是(2kπ+π/2,2kπ+3π/2)
2kπ-π/2
最小正周期=2π/2=π
令f'(x)=2cos(2x+π)=-2cos2x=0
2x=kπ+π/2 (k为整数
x=kπ/2+π/4 ( k为整数
讨论x取值 可得f(x)单调区间
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