求函数y=log2底sin(2x+π\4)的单调递增区间和单调递减区间

问题描述:

求函数y=log2底sin(2x+π\4)的单调递增区间和单调递减区间

y=log2底sin(2x+π/4)有意义
sin(2x+π/4)>0
单增区间为
2kπ<2x+π/4<2kπ+π/2
2kπ-π/4<2x<2kπ+π/2-π/4
kπ-π/8<x<kπ+π/8
单减区间为
2kπ+π/2<2x+π/4<2kπ+π
2kπ+π/2-π/4<2x<2kπ+π-π/4
kπ+π/4<x<kπ+3π/8