已知ω>0,函数f(x)=sin(ωx+π/4)在(π/2,π)单调递减,则ω的取值范围是?
问题描述:
已知ω>0,函数f(x)=sin(ωx+π/4)在(π/2,π)单调递减,则ω的取值范围是?
答
w>0上,当x属于(π/2,π)时,wx+π/4属于(wπ/2+π/4,wπ+π/4)
函数f(x)=sin(ωx+π/4)在(π/2,π)上单调递减
故2kπ+π/2