求f(x)=3sin(-2x+π/3)的单调区间
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求f(x)=3sin(-2x+π/3)的单调区间
求f(x)=3sin(-2x+π/3)的单调区间
求f(x)=3sin(-2x+π/3)的单调区间
f(x)=-3sin(2x-π/3)
所以和sin(2x-π/3)单调性相反
sinx增区间是(2kπ-π/2,2kπ+π/2)
所以此处即2kπ-π/2<2x-π/3<2kπ+π/2
2kπ-π/6<2x<2kπ+5π/6
kπ-π/12
同理,这里是kπ+5π/12
减区间是(kπ-π/12,kπ+5π/12)