求f(x)=3sin(-2x+π/3)+2的单调区间急
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求f(x)=3sin(-2x+π/3)+2的单调区间急
求f(x)=3sin(-2x+π/3)+2的单调区间
急
求f(x)=3sin(-2x+π/3)+2的单调区间急
f(x)=3sin(-2x+π/3)+2可化为f(x)=3sin(2x+2π/3)+2
又因为sinx的单调区间为(π/2+2kπ,3π/2+2kπ)
又因为f(x)=Asin(wx+θ)+K中决定单调区间的为w和θ,与A和K无关
所以代入2x+2π/3属于(π/2+2kπ,3π/2+2kπ)
解得:x属于(π/12+kπ,5π/12+kπ)