已知函数y=sinwx在-π/3,π/4]是减函数,则w的值,求详解,请尽快回答!

Question

已知函数y=sinwx在【-π/3,π/4]是减函数,则w的值,求详解,请尽快回答!

Answer 1

已知函数y=sinwx在【-π/3,π/4]是减函数,则w的值,求详解

解析：∵函数y=sinwx在【-π/3,π/4]是减函数
最大值点：wx=π/2==>x=π/(2w),令π/(2w)<=- π/3==>-3/2<=w<0
最小值点：wx=-π/2==>x=-π/(2w),令-π/(2w)>= π/4==>-2<=w<0
∵题目对w的取值未有限制
∴取二者交-3/2<=w<0